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Popular Calculus >

derivative of 3x^3-5x+7x^4-9-x^2

Solution

derivative of

3 x^{3} - 5 x + 7 x^{4} - 9 - x^{2}

Solution

28 x^{3} + 9 x^{2} - 2 x - 5

Solution steps

\frac{d}{d x} (3 x^{3} - 5 x + 7 x^{4} - 9 - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (7 x^{4}) - \frac{d}{d x} (9) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

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

\frac{d}{d x} (9) = 0

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

= 9 x^{2} - 5 + 28 x^{3} - 0 - 2 x

Simplify

= 28 x^{3} + 9 x^{2} - 2 x - 5

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 3x^3-5x+7x^4-9-x^2 ?
The derivative of 3x^3-5x+7x^4-9-x^2 is 28x^3+9x^2-2x-5
What is the first derivative of 3x^3-5x+7x^4-9-x^2 ?
The first derivative of 3x^3-5x+7x^4-9-x^2 is 28x^3+9x^2-2x-5