1. a) Copy and complete the table below: Original Function First derivative Second Derivative f(t) = -5° Original Function First derivative Second Derivative fG)-100 h(p)--2³-p b) After completing the table in part 1 a) above, copy and complete the table below by stating the name of EACH function used and their respective derivatives:

​a) Use the Product Rule to find the derivative of the given function. ​b) Find the derivative by multiplying the expressions first.   yequals=x Superscript 5 Baseline times x cubedx5•x3       Question content area bottom Part 1 ​a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer​ box(es) to complete your choice.     A. The derivative is left parenthesis nothing right parenthesis left parenthesis x cubed right parenthesis plus left parenthesis 5 x Superscript 4 Baseline right parenthesis left parenthesis nothing right parenthesisenter your response herex3+5x4enter your response here.   B. The derivative is left parenthesis nothing right parenthesis left parenthesis x cubed right parenthesisenter your response herex3.   C. The derivative is left parenthesis nothing right parenthesis x cubed plus 5 x Superscript 4enter your response herex3+5x4.   D. The derivative is left parenthesis x…

Find the inverse function Y=Bx=4)2

Match each function (a, b, c, d) with its derivative and explain how you knew. Not all derivatives will be used. Functions: a) x³ - 8x² + 2x - 5 b) sin(x) c) log(x) d) 25x+3 Derivatives:

a) Copy and complete the table below:   Original Function y= 5t3 - 5t f(z) = lnz h(x) = -5e x First derivative       Second Derivative           b) After completing the derivatives of the various functions in part 1 a) above, copy and complete the table below stating the name of EACH function that was derived:   Original Function Cubic Function Logarithmic Function Exponential Function First derivative       Second Derivative

explain without using derivatives , and explain all three subparts