1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ - 2x + 12 c) h(k) = 2-5k³ k² uborin

Q: f (x) = (4x + 5)* (x²? – 2x + 5)* Find the Derivative

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Q: 2. Determine the derivatives of the functions given below using only algebra and the specified…

A: Part a,Given,           fx=-x23+x3x104

Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: 9. f(x)=T √√5x²

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Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

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Q: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Prob. 6 (a) i) Let f(x) = 2x² - 3. Find f'(-2) using only the limit definition of derivatives. (b)…

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Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of the following functions: (Do not simplify) A.f(z) =E B. g (포) %3Dz In(5x? +9)…

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