Give the specific higher - order derivative of the given functions:

Question

ℎ(𝑥) = (𝑥^5 − 1/15𝑥^5 ) ;𝒉^(𝟒) (𝒙)

Answer 1

Take the derivative 4 times. It's easier to use power law formula by writing second term as (1/15)x^-5. Also, since the terms are added, we can take the derivative separately:

x⁵ → 5x⁴ →20x³→60x²→120x

(-1/15)x^-5→(1/3)x^-6→-2x^-7 →14x^-8 →-112x^-9

sum is h⁴(x)

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