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# differentiate y with respect to x . y=8x^9-5x^2-18?

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- billrussell42Lv 72 months ago
here are the rules that apply

(f + g)' = f' + g'

derivative of a sum is the derivative of each.

Thus we can do each term separately

k' = 0

derivative of a constant is 0

(kf)' = kf'

the constant multiplier stays unchanged

power rule

if f(x) = x^n

f'(x^n) = nx^(n–1)

y = 8x⁹ – 5x² – 18

y' = 9•8x⁹⁻¹ – 2•5x²⁻¹ – 0

y' = 72x⁸ – 10x

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