Söf(x) dx = 3, Söf(x) dx = 9. Sf(x) dx.

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph of f passes through…

A: first we find equation of line which passes through (2,5) and slope (m)=1/4 y-5=m(x-2)…

Q: Consider the following function. f(x) = −x2 − 6x − 6 Find its average rate of change over the…

A: Solution : According to the question,     The average rate of change of the function f(x) over an…

Q: Suppose ƒ is an even function and Evaluate

A:

Q: Write down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)

A: Write down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)

Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

A:

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: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: Compute the indicated derivative. d + 7x)(x2. dx x = 2

A:

Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

A:

Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

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

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: Given that the function f(x) = | x - 1|

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find derivatives of the functions defined as follows:

A: Given: fx=ex3x+2

Q: - Find the derivative o y with respect to n ort. 4 4 16

A:

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

A:

Q: S-2(x-1 - x²) dx 5.

A:

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

A:

Q: Suppose / (x) = /e*, Evaluate: /f(x) dx

A: Givenf(x)=ex

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A:

Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

A:

Q: The derivative of f(x) = 2 cos 2x is an odd function.

A: Odd function

Q: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

A:

Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

Q: suppose f=f(x). what is the sign of df/dx if the function f is increasing

A: Given that f(X) is a increasing function so when we draw a tangent line at any point of graph then…

Q: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

A:

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

A:

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: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

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: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

A:

Q: The derivative of the function ein(10) is equal to

A:

Q: Find derivative of the following function d -6tanx dx

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

A:

Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

A:

Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.

Q: Suppose ƒ is an even function and Evaluate

A: Given f is an even function, ∫-88f(x)dx=18

Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: Find the derivative or f'(x) for the following: dx y= x²- 3x + 4 2х-5 (x) = 3x+2

A: