Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

Q: A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of…

A: Given data:     The given expression for the function is: y=2x+1. The given point is: (x1,y1)=(7,3).…

Q: 13. Find an equation of the tangent line to the curve at the given point (use the definition of…

A: The equation of the curve is given by y = 2x2+1 The point at which the tangent line of the curve…

Q: Differential function of x2 + 2x + 3tanx

A: The given function is: x2+2x+3 tan x

Q: derivative of y=XVI-x*

A:

Q: Discussing the concept of limits to slope to derivatives (delta method to simple differentiation) to…

A: We need to discuss the concept of limit in finding the slope, differentiation and integration (also…

Q: derivative of 7x^4sqrt(x)+3/(x^3sqrt(x))

A: Let's call the given expression as y. Also recall the rule of exponents: Pa x Pb = Pa+bPlease see…

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

A:

Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

A:

Q: Find the equation of the line tangent to the graph of y = 4 ln(x) at a = 2. Enter exact values.…

A: detailed solution is given below

Q: Determine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent…

A: Our aim is to determine the coordinates of the points on the graph off(x)=5x3-2x2 where the tangent…

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: Using either limit definition of a derivative at a point, determine the equation of the tangent line…

A:

Q: x-sinx 1) lim 2) lim-(x-). tan x 3): write an equation for the tangent line at x-3 of the curve: 1…

A: Answer

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Identify the equation of the tangent line of the function: f(x) = 3x at x=2

A:

Q: derivative of √x²-4 - 2arcsex x/2, 2<x<4

A:

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y…

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope &amp; equation of tangent line.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: find the equation of the curve passing through the point (0,2) and having slope x+ex-sinhx at point…

A: Given problem is : find the equation of the curve passing through the point (0,2) and having slope…

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

A:

Q: Compute the derivative of the function y = 6 sin-'(x) at the point x = (Use symbolic notation and…

A:

Q: 3 + 2x +5

A: GIVENy=x3+2x+5   and x=2

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x 2 0 is the output…

A:

Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The function is F(x)= 2/x2 And the point is (1, 2)

Q: derivative of f(x)= arcsin(3x^2)arccsc(2x^3)

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: f(x)=5 x3-2-1 To determine: Slope of the given function at point -2, -12

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Consider a function fx. The slope of the function is defined as the change in the value of the…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given that, y=4x+12         ...(1)

Q: using the derivative definition how do I find f(x) = -6(square root over x).

A: The limit definition is on the board . First we find f(x+h) amd substitute the value in the limit…

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

A:

Q: Using the derivative of 10x determine the value of the derivative at   x=3 and x=5

A: Derivative ( xn) = n xn-1

Q: Find the equation of the tangent line to the graph of the function f(x)=4x3+5−−−−−−√ at the point…

A:

Q: Find an equation of the tangent line at the given point.  f(x)=3/x2  , at x= -1

A:

Q: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

A:

Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0아 1.5 5. 1.0 0.5 0.5…

A: For slope  of  the curve differentiate w.r.t.x   dydx=ddx1x=-1x2   dydx5/6,6/5=-1x25/6,6/5=m…

Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

A:

Q: The slope of the tangent line equation to the graph of the function y = 5/x-9 at (81,36) i

A: Given:y=5x-9  at 81,36Equation of tangent line:y-y1=mx-x1

Q: uation of the tangent line to the curve at the given point. = (1 + 2x)9, (0, 1)

A:

Q: How to find the slope and equation of the tangent line to the graph of the function f at the…

A: We have to find slope and equation of tangent line to f(x) at (2,18) where f(x) is given.We have…

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

A:

Q: Determine the point at which the graph of the function has a horizontal tangent line. f(x) =…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Consider the function  y=2x4−3 Point  1,−1

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given,           The function is y=5x+12 and the point is 0,1.

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

A:

Q: QI. Find the derivative of f(x)= 2x² - - by using the definition of derivative.

A: We have to find derivative

Q: 7- cosh(x) 7+ cosh(x) Use appropriate rules of differentiation to find the derivative of Gx) =-

A:

Q: Finding an equation of tangent line to the graph ln(xy) - x2+y2=0 at (1,1)

A: To find equation of tangent line to the graph of below curve at (1,1).

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)