1. a) Copy and complete the table below: Original Function First derivative Second Derivative y = 5t³-5t f(z) = Inz h(x) = -5ex

Q: 4 find f'(3). x2 If f(x) =

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Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: Find an equation of the line tangent to the graph of f(x)= x³ at (1,1).

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: b) Using the given graph of f(x) check the box next to the best choice for the graph of the…

A: Given:-                   Using the given graph of f(x) check the box next to the best choice for…

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…