Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In x; x=1 ..... y =

Q: Find all points on the graph of f(x) = x +a where the tangent line is parallel to the line y = 28x.…

A: Consider the function f(x) = x3 + x Slope of the tangent to f(x) is the derivative of f(x). f'(x) =…

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) =…

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Q: Compute f ' (x) and find an equation of the tangent line to the graph at x = a. f(x) = 3√x,  a= 8

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

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Q: Find the equation of the tangent line to the graph of the function f (x) = v 4,4 + 12 at the point…

A: Consider the equation

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.

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Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: Find an equation of the tangent line to the graph of the function at the given point , f(x) = e3x,…

A: Equation of the tangent line: y - y1=m(x - x1) m=f'(x)

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.

A: Slope at x=a is f'(a) Point slope formy-f(a)= f'(a)(x-a)

Q: Find an equation for the tangent to the curve at the given point. f (x) = 6/¤ – x +1, (36, 1) -

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Q: Find an equation for the tangent to the curve at the given point. f(x) = 8 x - X+ 1, (64, 1)

A: Equation of line at point (a, b) and slope =m is : (y - b) = m*(x - a)

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at…

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let…

Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

A:

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: Find the equation of the line tangent to the graph of f (x) = 1+ e-*for a. x = 0 b. x = -1

A: f(x) = 1 + e-x

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we have to find the slope m and also the equation of the tangent

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=5e^x, x=0

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Q: Find an equation of the tangent line to the graph of f at the given point. f(t)= (t -…

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Q: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

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Q: Find the equation of the tangent line to the graph of the function f(x) = (22 +6) (z – 3) at the…

A: Fund the equation of the tangent line.

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, f(x) = e−x −…

A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is slope and m=dydxx0,y0

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A: We have to find the equation of tangent line

Q: Find an equation for the line tangent to the graph of f at (2, 28), where f is given by f(x) = 5x³ –…

A: Given function is fx=5x3-5x2+8. To find an equation of tangent line to the graph at point 2,28.…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 3 − 5x,…

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Q: For what values of x is the tangent line of the graph of f(x) = 6x^3 + 9x^2 −218x   parallel to the…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: Find an equation of the tangent line to the graph of the function at the given p h(x) = (x2 – 2)(x –…

A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x3 y 5E 4…

A: