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- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.1) Use the definition of the derivative to determine the derivatives of the following functions. a. f(x) = 1/x3 b. g(z) = z4 - 8z21)Find the derivative of the following.F(x) = 3x4 – 5x2 + 27)9 2)Find the equation of the tangent to the curve f(x)=(x2+2x+1)4 at the pointwhere x = 3.
- Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2 − 3x, c = 2Use the alternative form of the derivative to find the derivative at x=c (If it exists) f(x)=x^3+3x^2+9, c=-3Find the derivative of h(x)=(3x+4)3/ (−3x−2) 4 You should leave your answer in factored form. Do not include "h′(x)=" in your answer. Provide your answer below: