brief calculus.

Question

Use the Four Step Method to find the derivative of 𝑓(𝑥)=5𝑥^2−3𝑥+2

Answer 1

f'(x) = 10x-3

f(x) = 5x^2 -3x +2

f(x+h) = 5(x+h)^2 -3(x+h) +2 = 5x^2 +10xh + 5h^2 -3x-3h +2

f(x+h) - f(x) = 10xh +5h^2 -3h

divide by h

[f(x+h)-f(x)]/h = 10x -3 +5h

find the limit as h approaches zero

f'(x) = 10x -3