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Popular >

derivative of y=5x^3+25x^2-pi

Solution

derivative of

y = 5 x^{3} + 25 x^{2} - π

Solution

15 x^{2} + 50 x

Solution steps

\frac{d}{d x} (5 x^{3} + 25 x^{2} - π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (25 x^{2}) - \frac{d}{d x} (π)

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

\frac{d}{d x} (25 x^{2}) = 50 x

\frac{d}{d x} (π) = 0

= 15 x^{2} + 50 x - 0

Simplify

= 15 x^{2} + 50 x

Popular Examples

integral from 0 to 1 of 21 1/(x^p)

\int_{0}^{1} 21 \frac{1}{x ^{p}} d x

integral of xe^{x^2}cos(x^2)

\int x e^{x^{2}} cos (x^{2}) d x

derivative of (1-2x/(3x^2))

\frac{d}{d x} (\frac{1 - 2 x}{3 x ^{2}})

limit as x approaches 1 of 2/(x^3-x)

x \to 1 lim (\frac{2}{x ^{3} - x})

derivative of ((x+5/(x^2+2))^2)

\frac{d}{d x} ((\frac{x + 5}{x ^{2} + 2})^{2})

Frequently Asked Questions (FAQ)

What is the derivative of y=5x^3+25x^2-pi ?
The derivative of y=5x^3+25x^2-pi is 15x^2+50x
What is the first derivative of y=5x^3+25x^2-pi ?
The first derivative of y=5x^3+25x^2-pi is 15x^2+50x