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Popular >

derivative of 9x^4+6x^3+1

Solution

\frac{d}{d x} (9 x^{4} + 6 x^{3} + 1)

Solution

36 x^{3} + 18 x^{2}

Solution steps

\frac{d}{d x} (9 x^{4} + 6 x^{3} + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (9 x^{4}) + \frac{d}{d x} (6 x^{3}) + \frac{d}{d x} (1)

\frac{d}{d x} (9 x^{4}) = 36 x^{3}

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (1) = 0

= 36 x^{3} + 18 x^{2} + 0

Simplify

= 36 x^{3} + 18 x^{2}

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\int x (x^{2} - \frac{1}{x}) d x

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Frequently Asked Questions (FAQ)

What is the derivative of 9x^4+6x^3+1 ?
The derivative of 9x^4+6x^3+1 is 36x^3+18x^2
What is the first derivative of 9x^4+6x^3+1 ?
The first derivative of 9x^4+6x^3+1 is 36x^3+18x^2