Find the derivative of f ( x ) = 6 x 3 − 9 x + 4

Question

Please answer in detailed calculations

Answer 1

18x^2 -9

f(x) = 6x^3 -9x + 4

for 6x^3 the power rule is to take the exponent and make it a coefficient, then reduce the power by 1, to get 3(6)x^2 = 18x^2

for a linear term, the derivative is just the coefficient =-9

for a constant term, the derivative is always zero