Evaluate the following function. 1. f(x) = 5x³ find f'(2) 2. f(x) = x³ + 3 find f'(3) 3. f(x) = x3 - 27 find f'(2) 4. f(x) =find f'(1) 5. f(x) = x² + 6x + 9 find f'(3) %3D %3D %3D 3x %3D x-2 %3D

Q: Differentiate the function. H(z) = In a2 - z2 a2 + z? H'(z) :

A: Given function, Hz=lna2-z2a2+z2

Q: 3. A function and its first 2 derivatives are given. x² - 4x (x+4)² f(x) = = (x+4)³ (3x - 4) f'(x)…

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Q: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: Given f"(x) = 2x? – 4x3- 7x +3, f'(1) = -6, and f(1) = -7. %3D Find f'(x) and f(x). Part 1: Find the…

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Q: Pregunta 3 If f and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) =…

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Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) >0 and for concave down f"(x) <0

Q: Let f(x) = x + 12 f-'(x) = %3D 1.

A: Let's say y = f(x) A function g is said to be inverse of a function f, if g(y) = f(x) Procedure to…

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: 4 2 -1 3 4 5 6 7 1.

A: Given

Q: Find ao of the function f(x) = (T -x)2 n^ 2/6 5π. 2/12 I ^ 2/12 Ο 5πλ2/6

A: Fourier coefficient ao

Q: The daily profit function in dollars for a food truck given by the function P(x)=7(x^2-600)^1/3-26…

A:

Q: Use the graph of f(x) below to put the values of f'(-6), f'(0), and f'(2) in decreasing order. 2.5…

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: f'(x) 6 48 3 8 Write down the value(s) of x for which the original function y = f(x) is a.…

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Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function