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: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 –…

A: Topic = Derivative

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

A:

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

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: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

A: Solve for the derivative

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

A:

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: Q3) Find the derivative of y for all functions the following (3) y = tlog3(e(stn t)(In 3)) %3D

A: The derivative of the logarithmic terms can be calculated by first simplifying the logarithm. The…

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.