(9) If f(x) is the slope of a trail at a distance of a miles from the start of the trail, what does S f(z) dr represent?

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

A:

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

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: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: 2х + 1 f(x) : х+ 2

A: Given:…

Q: 2. Given: y = f (x) = (2x-2 + 5x³). What is the slope (gradient) of the first derivative function at…

A:

Q: A company has determined that its price-demand function for its sale of its product is given by…

A:

Q: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

A:

Q: Find the derivative of the function g(x)=(5x^2−3x+1)e^x g'(x)=___

A:

Q: Find the derivative of the function g(x)=(3x^2−4x+3)e^x g'(x)=

A:

Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

A:

Q: For the function g(x) = x², the average rate of change for the interval [-1, 3] is: For the function…

A: Here we have to find average rate of change of function.  The given function is g(x)=x2

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

A:

Q: Let f(x) = (x² + 3x)e*. Determine the value of the third derivative of f(x) for x = 0.

A:

Q: 10. Find a function y = ax +bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a…

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

Q: Find the indicated derivative for the function. h"(x) for h(x) = 2x "5 – 6x -8 h"(x) =

A:

Q: Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

A:

Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

A:

Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

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)

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: The Cost and Revenue functions for the production and sale of x hair dryers is C(x)=5x+2340;…

A: Given: The Cost and Revenue functions for the production and sale of x hair dryers:

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)3 5. h(x) x+5 = x2-9, 6. A(x) = v3x3 +…

A:

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

A:

Q: 1. [5.1] Determine the equation of a line tangent to the curve of x = 1. f(x) = 5e* +1 at 2. [5.1]…

A: A detailed solution is given below

Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = x² –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 3 5. h(x) x+5 = x2-9, 6. A(x) = v3x³…

A:

Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

A:

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

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

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.   f(x)=8−7…

A: Givenf(x)=8-7lnx

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Suppose that f(x)=-7x2 + 8 (A) Find the slope of the line tangent to f(x) at x=2 (B) Find the…

A: To determine the following for the function f(x) = -7x2 + 8:Part a) Slope of tangent at x = 2.Part…

Q: Find the derivative of the function. 2 1 3 h(x) x3 h'(x) =

A:

Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

A:

Q: Find the values of x where the tangent line is horizontal for the function  f(x) = x2(x-5)3

A:

Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

A:

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

A:

Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

A:

Q: Find the equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

A:

Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x