2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1* 2. f(x) = csc x + 2x + x³. x cos x 6+2x 3. f(x) = x

Q: f'(x) = Let f(x)= = I cos ³

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Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first…

A: Use real number line

Q: Let f(x) = 1 Find f' and f" (the first and second derivatives).

A: f(x)=13-x

Q: Calculate the first five derivatives of f(x) = -(sin(x)). Then determine f(16) and f(29) f'(x) =…

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Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

Q: Consider the function f(x) whose second derivative is ƒ''(x) = 9x + 6 sin(x). If ƒ(0) = 4 and f'(0)…

A:

Q: X x+18

A: f(x)=xx+18

Q: / If f(x) = 2x (Sinx+cosx) find. f'(x) = ' (5) =

A: Given function  f( x ) = 2x( sinx + cosx )

Q: 1 f(x) = x? cosx sin x + x' 4 3.

A: We will simply do the differentiation with respect to x for each term as follows

Q: Find the derivative of the function f(x)= 7arcsin(x - 9). 7 f"(x) = (x-9)-1 7 f'(x)= (x - 9) - 1 7…

A: we know that ddxsin-1x=11-x2

Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

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Q: f(x) f'(x) x100

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Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

A: f'(x)=lim(h tends to 0) {f(x+h)-f(x)}/h use this for derivative

Q: Find f''(x) if f(x)=ex cos(x)+x3

A: Find f''(x) if f(x)=ex cos(x)+x3

Q: Let f(x) = 2x² f'(x) = - T. The derivative function Select one: O x ² 2 O 3x² O 3x²2² O 3x² O None…

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Q: Find the derivative of f(x) = 4sinxcosx-5sinx. a.) f(x) = -4sinxcosx + 5cosx b.) f'(x)=4cos²x-4sin²x…

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Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

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