What is the first derivative of f(x) = 9(x¹)? Select the correct answer below: Of'(x) = (x4)9x¹-1) O f'(x) = (In 9)9(x¹) O f'(x) = (4x³)9(x¹) O f'(x) = 9(x¹)x³ (9ln 4) O f'(x) = 9(x¹)x³ (41n 9)

Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: Find f'(x) and f"(x) if f(x) = f'(x) f"(x)

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Q: if f(x) is a function with derivative f'(x)= (x^2 + 1)^5, then the following is true about f(x)

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Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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Q: Find f''(x). 9 f(x) = (x² + 7) ⁹ f''(x) =

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Q: Find the indicated derivative for each and simplify as much as possible. (a) F'(x) for f(x) = Of'(x)…

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

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Q: Find f''(x). 6 f(x) = √(x² + 3) 5 f''(x) =

A: To find double derivative of the given function.

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: Find the derivative of C(x) C'(x) = C

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Q: Find the first derivative for the following function. g(x) = 4e3x*+2x %3D A. g'(x) = 4e3x*+2x +…

A: Given function: gx=4e3x5+2x Differentiate the above function w.r.t 'x' g'x=ddx4e3x5+2x

Q: 9x Find the derivative of the function f(x)=In x2+15 2x O f'(x)= x²+15 15-x2 f"(x)= x2+15 2x O…

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Q: The product rule states that if h(x) = f(x)g(x) then h'(x) = f'(x)g(x) + f(x)g'(x).  In other words…

A: 1) 3 is a constant, it does not depend on x, so we can take 3 out and then apply power rule on just…