What is the derivative of x^3-7 ?

The derivative of x^3-7 is 3x^2

What is the first derivative of x^3-7 ?

The first derivative of x^3-7 is 3x^2

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

3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (7) = 0

= 3 x^{2} - 0

Simplify

= 3 x^{2}

\frac{1}{1 + x}

\int 9 x e^{(- 3 x)} d x

f (x) = 3 - x^{2}, at x = 4

y^{^{'}} = 5 - 2 y

y^{^{'}} = cos^{2} (y)