l Functions-Derivatives-Integrals Calculator

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ƒ()
ƒ'()

n =

Given ƒ(h) = 9h3
Determine the derivative ƒ'(h)

Start ƒ'(h)


Use the power rule

ƒ'(h) of ahn = (a * n)h(n - 1)
For this term, a = 9, n = 3
and h is the variable we derive
ƒ'(h) = 9h3
ƒ'(h)( = 9 * 3)h(3 - 1)
ƒ'(h) = 27h2

Collecting all of our derivative terms

ƒ'(h) = 27h2

Start ƒ''(h)


Use the power rule

ƒ''(h) of ahn = (a * n)h(n - 1)
For this term, a = 27, n = 2
and h is the variable we derive
ƒ''(h) = 27h2
ƒ''(h)( = 27 * 2)h(2 - 1)
ƒ''(h) = 54h

Collecting all of our derivative terms

ƒ''(h) = 54h

Start ƒ(3)(h)


Use the power rule

ƒ(3)(h) of ahn = (a * n)h(n - 1)
For this term, a = 54, n = 1
and h is the variable we derive
ƒ(3)(h) = 54h
ƒ(3)(h)( = 54 * 1)h(1 - 1)
ƒ(3)(h) = 54

Collecting all of our derivative terms

ƒ(3)(h) = 54

Start ƒ(4)(h)


Collecting all of our derivative terms

ƒ(4)(h) =

Evaluate ƒ(4)(0)

ƒ(4)(0) =
ƒ(4)(0) =
ƒ(4)(0) =

Answer
Success!
ƒ(4)(0) = 0

↓Steps Explained:↓



Final Answer

ƒ(4)(0) = 0

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