What is the derivative of x^3-15x^2+72x ?

The derivative of x^3-15x^2+72x is 3x^2-30x+72

What is the first derivative of x^3-15x^2+72x ?

The first derivative of x^3-15x^2+72x is 3x^2-30x+72

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derivative of

x^{3} - 15 x^{2} + 72 x

3 x^{2} - 30 x + 72

Solution steps

\frac{d}{d x} (x^{3} - 15 x^{2} + 72 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (15 x^{2}) + \frac{d}{d x} (72 x)

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

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (72 x) = 72

= 3 x^{2} - 30 x + 72

\int \frac{1}{12 x - x ^{2}} d x

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

1. 5^{x}

\int \frac{x}{9 - x ^{2}} d x

What is the derivative of x^3-15x^2+72x ?
The derivative of x^3-15x^2+72x is 3x^2-30x+72
What is the first derivative of x^3-15x^2+72x ?
The first derivative of x^3-15x^2+72x is 3x^2-30x+72