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Popular >

derivative of 5x^4+3x^2-9x+16

Solution

\frac{d}{d x} (5 x^{4} + 3 x^{2} - 9 x + 16)

Solution

20 x^{3} + 6 x - 9

Solution steps

\frac{d}{d x} (5 x^{4} + 3 x^{2} - 9 x + 16)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (9 x) + \frac{d}{d x} (16)

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

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

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (16) = 0

= 20 x^{3} + 6 x - 9 + 0

Simplify

= 20 x^{3} + 6 x - 9

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\int x^{2} x - 4 d x

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Frequently Asked Questions (FAQ)

What is the derivative of 5x^4+3x^2-9x+16 ?
The derivative of 5x^4+3x^2-9x+16 is 20x^3+6x-9
What is the first derivative of 5x^4+3x^2-9x+16 ?
The first derivative of 5x^4+3x^2-9x+16 is 20x^3+6x-9