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Popular >

derivative of 7x^4-2x^3+8x+5

Solution

\frac{d}{d x} (7 x^{4} - 2 x^{3} + 8 x + 5)

Solution

28 x^{3} - 6 x^{2} + 8

Solution steps

\frac{d}{d x} (7 x^{4} - 2 x^{3} + 8 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{4}) - \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (5)

\frac{d}{d x} (7 x^{4}) = 28 x^{3}

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

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (5) = 0

= 28 x^{3} - 6 x^{2} + 8 + 0

Simplify

= 28 x^{3} - 6 x^{2} + 8

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^4-2x^3+8x+5 ?
The derivative of 7x^4-2x^3+8x+5 is 28x^3-6x^2+8
What is the first derivative of 7x^4-2x^3+8x+5 ?
The first derivative of 7x^4-2x^3+8x+5 is 28x^3-6x^2+8