Mathematics

Problem

Consider the polynomial function

f(x)=2x^5-7x^3+4x^2-5x+9

. a. (i) Write the first derivative

f'(x)

. b. (ii) Determine the slope of the curve

y=f(x)

at the point where

x=1

. c. (iii) Hence, obtain the equation of the tangent to the curve at that point.