Find and interpret f'(4) and f''(4). f(æ) = 2 a f'(4) = [1/(sqrt(4)) Preview f''(4) = [1/sqrt(2^3) Preview So at x = 4, f(x) is [ increasing v at a(n)| decreasing V rate.

Q: () Y = sec

A: Given the function

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and…

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: ft= VTt tan t

A: Given:     ft=1+tan t9 Taking derivative on both sides    f't=ddt1+tan t19 Apply power rule:…

Q: f'(x) = +6) ¹¹(™). Find f'(x). Let f(x) = (x³ + 6)¹(x).

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Q: Find f. f ''(t) = 3\sqrt(t),  f(4) = 17,    f '(4) = 4 f(t) =

A: It is integration using initial conditions.

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Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: Find f'(x) if f(x) = 1 (x+csda4+10))³

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

Q: Find a function f so that the maximum rate of change occurs in the direction of u = (1/sqrt(5))…

A: The maximum rate of change occurs at ||grad(f)||. We are given that,       We know that the maximum…

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

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Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: Find f x) and f xof fCx) = 11x³

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Q: F’(-4)=

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Q: f'(x) = Differentiate the function f(x)=x197 +19.7.

A: Explanation of the answer is as follows

Q: find f 'a  f (x)= sqrt(1-2x)

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Q: Find f'(a). f'(a) = f(x) = 3x²5x + 1

A: The given function is

Q: find f'(a) f(t) = 1/(t2+7)

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Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: Let f(x) - 6e* +2 + e'. f'(0) =

A: The given function is f(x)=-6ex+2+e1

Q: Find f'(a). f'(a) = f(x) = 2x² - 3x + 1

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Q: Find f'(a). F(x) = X + 5 f'(a) =

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Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: Find f'(a). f(x) = V1 – 2x %3D |

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Q: Find  f'(a)

A: Here given function as ft=2t+1t+3

Q: Determine f'(0). (a) f(0) = Ver (b) ƒ(0) = e™V0 (c) f(0) = VeT0

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Q: Let f(x) = Find f' (z). (z² 4) f(x) =|

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Q: Use the graph of y = f' (x) to fill in the missing information.

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Q: 12 Let. f(x) = ¹2. Please find f'(x), ƒ'(3), and the equation of the line tangent to f where x = 3.…

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Q: Find f'(a). f(x) = 3x 3x + 2 3x² f'(a) =

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Q: 1. Find the slope of the tangent line to the graph of the following function at the indicated point,…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find f'(a). ƒ'(a) = f(x) = V 2 - 2x

A: Given query is to find indicated derivative.

Q: Find f '(a) f(t) = (8t + 34)/(t + 9) f '(a) =

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Q: Find f'(a). f(x) = V2 - 6x f(a) =

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Q: Find f'(x).

A: The given function is,

Q: Find f'(a). f(x) = 4x2 - 5x + 3 f'(a)

A: Given: fx=4x2-5x+3 for finding f'a, we differentiate given function with respect to x