A. Make a table for f(x) = 3". B. Make a table for f '(x). y y Graph f(x) D. Graph f (x). E. Graph y = x.

Q: Find derivatives of the function defined as follows. y = -4e-0.3x

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: Find the 1st and 2nd derivative of this function: x=(t-2)5/2  y=t3-5

A: We will differentiate the function twice to get the first and second derivatives as follows while…

Q: Find the derivative of function defined as follows.

A: we have to find the derivative of the given function . y=2x7-8x

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: What is the derivative of the function f(x) = e-2x?

A:

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

A:

Q: The following represents the graph of the derivative f'(x) of a continuous function.

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

A:

Q: 2х + 1 f(x) : х+ 2

A: Given:…

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

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

A: Given :

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

A:

Q: Find derivatives of the function defined as follows. y = 5e-4x

A:

Q: Find derivatives of the function defined as follows. y = e-8x

A: We have to find derivatives of the function: y=e-8x We know the formula of derivatives,…

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

A:

Q: Find the nth-order derivative of the function y=x2cosx.

A:

Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given f(x)=(1-x)23  To find  Find left-hand limit derivatives from the left and from the right at x…

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: fx=1-x23 To Find:  To find the left hand derivative LHD and right hand derivative RHD and to…

Q: 3e* Find the first derivative: f(x) = x (x+1)

A:

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Determine the equation of the tangent line to the graph of y = f'(x) at the point where x = 1 if…

A:

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

A: To find the derivative of the function gx=ex2-xg'x=?

Q: Find the domain of function defined as follows. y = ln(x + 7)

A: Given       y = ln(x + 7)

Q: Find the derivatives of the function defined as follows. y = -3e2sin x

A: The function: y=-3 e2 sin x

Q: f(x) 5 1 -1

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use…

A: Given first derivative is:

Q: Find derivatives of the functions defined as follows: . y = -8e3x

A: Given: y = -8e3x Formula used: If f(x) is any function and k is a constant then ddxkf(x)=kddxfx…

Q: Find the derivative. F'(x) if F(x) = (e×" + 1) °

A:

Q: Find the derivative of y = x"+1 + (n + 1)*

A:

Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

A:

Q: How is the graph of y = Sin(x - 30) different from that of the function y = sin x?

A:

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

A:

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

A: To find out the function.

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

A: Given: gx=ex2+3x

Q: Find the higher order derivatives for f (x)=x^5, what is f^(6) (x)?

A: According to the given information f(x) = x5 and it is needed to calculate f6(x).Since, if p(x) is a…

Q: Find derivatives of the functions defined as follows: y = 4e2x2-4

A: We have  y=4e2x2-4 Then, dydx=d4e2x2-4dx=4de2x2-4d2x2-4.d2x2-4dx=4e2x2-44x=16xe2x2-4

Q: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)