Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x* + e)

Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

Q: 3. Find the equation of the tangent to the graph y = xvx-1 at ( 5, 10).

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find an equation of the tangent line to the graph of the function at the given point,

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

Q: Find an equation for the line tangent to the graph of y=tan-1(x) at the point (1,π/4).

A: Given information:

Q: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

Q: find an equation of the tangent line to the graph of the function at the point (6,1).   y=3^x-6

A: Equation of tangent is given by: (y-y1)=m(x-x1) where , m=slope of the curve. You can find solve by…

Q: Write an equation for the tangent line to the graph of y = e* + x² + 1 at x = 0.

A: we have to write an equation for the tangent line to the graph of  at x=0.

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

A:

Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: Find the equation of the tangent line to the graph of function at the given point y = 1n x^4 ; (1,0)

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

A:

Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

A:

Q: Find an equation of the tangent line to the graph of y = 2x/x2+1 at the origin and at the point…

A: use differentiation for finding the slope and then use slope intercept form for finding the tangent…

Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2−x, (−1,…

A: Given: y=2-x  ,-1,2

Q: Write an equation for the given tangent curve in the form y = A tan [B(x - C)] + D. -1- 10 --....

A: The tangent curve in the form is y=A tanBx-C+D

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

A:

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

A:

Q: Find the equation of the tangent line to the graph of function at the given point. Y = 5+ 1n(1-4x) ;…

A:

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: Find an equation of the tangent line to the graph of y = e at the point 5,

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A:

Q: Find an equation of the tangent line to the curve at the point (1, 1/e)   y = x3e−x

A: Given query is to find the equation of tangent line to the curve   y = x3e-x

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 2x + 1, (4, 57)

A:

Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

A:

Q: i. Find the equation of the tangent to the graph of g at (4, 2).

A:

Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3,22)

A:

Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3, 22) y =

A: y = x3 - 2x + 1 ( x1 , y1 ) = ( 3, 22 )

Q: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

A: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

A:

Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: Find an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…

Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe? -…

A: