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Popular >

derivative of y=5x^3-4x^2+3x-6

Solution

derivative of

y = 5 x^{3} - 4 x^{2} + 3 x - 6

Solution

15 x^{2} - 8 x + 3

Solution steps

\frac{d}{d x} (5 x^{3} - 4 x^{2} + 3 x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (6)

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (6) = 0

= 15 x^{2} - 8 x + 3 - 0

Simplify

= 15 x^{2} - 8 x + 3

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integral from 3 to 5 of x/(x^2-2)

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Frequently Asked Questions (FAQ)

What is the derivative of y=5x^3-4x^2+3x-6 ?
The derivative of y=5x^3-4x^2+3x-6 is 15x^2-8x+3
What is the first derivative of y=5x^3-4x^2+3x-6 ?
The first derivative of y=5x^3-4x^2+3x-6 is 15x^2-8x+3