Consider the function f(x) = x³ +1. (a) (2 pts.) Calculate the equation for the tangent line to the graph of f at x = a. (b) (4 pts.) Using part (a), find the tangent line to the graph that passes through the origin. At what point is this line tangent to the graph of f?

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

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

A: Given, f(x)=e3x, 0,1 We need to find an equation of the tangent line to the graph of the function at…

Q: Find the equation of tangent line of the function f(r) = e"/x at the point a = 1. Write in the form…

A:

Q: How do I do this?

A: We are given a function and at a point

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 tangent line to the graph of the function f (x) = (x² + 8) (x – 3) at the…

A: The gradient of the tangent at any particular point is given by :     f(x) = (x2 + 8) (x - 3)…

Q: 2 Find the equation of the tangent line to the graph of f(x) = at The equation of the tangent line…

A:

Q: 1. Consider the function f (x) = 2(3x³ – 2x²)5. %3D a. Differentiate the function. b. Find the slope…

A: 1) Given: the function fx=23x3-2x25.

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: the

A: The given function is f(x)=x+1x-6at the point 0,-16 To find the equation of the tangent line the…

Q: Find the equation of the tangent line to f(x)=xe2x-2 + 3 at the point (1,4).

A: Slope of a tangent of a function at a point is equal to the value of the derivative at that point.To…

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

A:

Q: Find the slope of the tangent line of the function -ey + x2 – y = 15 at the point (4,0)

A: Please note that the slope of tangent to a curve at any point is given by the derivative of the…

Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Find the equation of the tangent line to the function f(x)=x2−x+2 at the point where x=−1

A: The given function is fx=x2-x+2 and the x-intercept of a point is x=-1. Evaluate the corresponding y…

Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: Consider the function f(x) = x² – 3x + 5. Out of all the many tangent lines of f (x), determine the…

A:

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

A:

Q: Find an equation of the tangent line to the graph of f at the point  (2, f(2)). f(x) = 3(6x − 2)4…

A: The given function is f(x) = 3(6x-2)4The slope m is obtained.

Q: Find the equation of the tangent line to f(x) = x² + x at x = 3. Sketch the function and this…

A: The slope of any curve at any point is equal to the derivative of the curve at that point. The…

Q: Find the equation of the tangent line to the graph of the function f(x) = x² +x – 1 at the point…

A:

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

A:

Q: Differentiate the functions and find the slope of the tangent line at the given  value of the…

A:

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

A:

Q: Let f(x) = 3x^2 + x + 5. a) Find the equation of the tangent line at x = 10. b) For what value of x…

A:

Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

A:

Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

Q: Find the point on the graph of f(x)=ex for which the tangent line to the graph there passes through…

A:

Q: Find the slopem and an equation of the tangent line to the graph of the function f at the specified…

A: Given: fx=x2x+8; 2,25 To find: Slope (m) and equation of the tangent line to the graph of the…

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

A:

Q: Find the equation of the tangent line to f at x = a. f (x) = 3 − 4x,             a = 2

A:

Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

A:

Q: Let f(x)= e^x^2 . Find an equation of the line tangent to the graph of f at the point the (1,e).

A: Tangent to the graph,

Q: B - Find the point on the curve y = x3 + x2- 1 where the tangent parallel to the x- axis.

A: Topic- slope of tangent and application of derivatives

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: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

A:

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find an equation of the tangent line to the graph of the function                    y = esinh x, at…

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

Q: Find the equation of the tangent line to the function f(x)=−4x2−3x+2 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1given

Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

A:

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

A:

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: Find the equation of the tangent line to the function f(x) = r + 3z++4 at the point where x =-2.…

A: Given : fx = x3+3x2+x+4

Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing…

A:

Q: Find the equation of the line tangent to f(x)=3/(2x+1)at the point (1, f(1))

A: Given function is  fx=32x+1

Q: Find the slope and equation of the tangent line to f(x) =4+2x at a 3 using the definition.

A: