What is the derivative of (x^3/3+3x^2-7x) ?

The derivative of (x^3/3+3x^2-7x) is x^2+6x-7

What is the first derivative of (x^3/3+3x^2-7x) ?

The first derivative of (x^3/3+3x^2-7x) is x^2+6x-7

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Popular >

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

x^{2} + 6 x - 7

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (7 x) = 7

= x^{2} + 6 x - 7

5 x^{3} + 2 x^{2} + 6 x + 10

\int \frac{1}{( x - 2 ) ( x + 1 )} d x

x \to 1 lim (x + 1)

\int \frac{2}{x ^{2} + 11 x + 18} d x

\int 5 cos (3 x) - 4 sin (5 x) d x

What is the derivative of (x^3/3+3x^2-7x) ?
The derivative of (x^3/3+3x^2-7x) is x^2+6x-7
What is the first derivative of (x^3/3+3x^2-7x) ?
The first derivative of (x^3/3+3x^2-7x) is x^2+6x-7