8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a) ƒ'(x) = vex b) f'(x) = √ex c) f'(x) = ₂x Which of the following is a derivative of the function y = 2e*cosx is: a) 2e*cosx b) -2e* (sinx - cosx) c) 2ex (1) d) none of these d) none of these d) -2e* cosx sinx

Q: 5) Find the derivative of each of the following functions. a) f(x) = (3x- 6x - 7) %3D b) g(t) = V4t-…

A:

Q: 2) The graph of a function y = f(x) is given. Draw a graph of it's derivative %3D

A:

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: For the function y = h(x) whose graph is shown, find the values of x such that the derivative is…

A: For the given function: y=hx The graph shown is:

Q: 11690100 7 -.) f(x) = -x² + 6x + log3(12) 7 cos(8x) i.) f (x) = x5+3

A:

Q: /3 store the functian fCx) = (2.7x³-37+5) in your graphing utility. Usethe numeric differentiation…

A: Given: fx=2.7x3-3x+523 To Find: i. f'0 and f'4.3ii. Graph fxiii. Number of Horizontal Tangents

Q: 11. f(x) = 4x³ In(5x² +1)

A: Topic-Derivative of a function We are given,f(x)=4x3ln(5x2+1)we know…

Q: ph represents the derivative function f'(x) of a function f(x). rval of increase and decrease of the…

A:

Q: 9. Take the derivative of the following function and simplify/factor: h(0)= 40² - sin 30

A:

Q: Compute the derivative: tan-'(ax) (bx) (a) y = sin='(x²) (b) y = (tan-1 r)³ (c) y = sin

A: (a)   Differentiate the given equation with respect to x, dydx=ddxsin-1x2=11-x22ddxx2=2x1-x4

Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

A: ddxxn=nxn-1 ddxfxgx=gxf'x-fxgxgx2 [As per the guidelines I am answering only first 3 parts of the…

Q: 2. Let f(x) = cos(x). We will take derivatives of this function over and over. (a) Evaluate the…

A: Using standard formula of derivatives.