What is the derivative of (3x^2-13^3) ?

The derivative of (3x^2-13^3) is 18x(3x^2-13)^2

What is the first derivative of (3x^2-13^3) ?

The first derivative of (3x^2-13^3) is 18x(3x^2-13)^2

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\frac{d}{d x} ((3 x^{2} - 13)^{3})

18 x (3 x^{2} - 13)^{2}

Solution steps

\frac{d}{d x} ((3 x^{2} - 13)^{3})

Apply the chain rule:

3 (3 x^{2} - 13)^{2} \frac{d}{d x} (3 x^{2} - 13)

= 3 (3 x^{2} - 13)^{2} \frac{d}{d x} (3 x^{2} - 13)

\frac{d}{d x} (3 x^{2} - 13) = 6 x

= 3 (3 x^{2} - 13)^{2} \cdot 6 x

Simplify

= 18 x (3 x^{2} - 13)^{2}

\frac{d}{d x} (\frac{sin ( x )}{y ^{2}})

\frac{d}{d x} (3 \cdot ln (x))

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

(1 + e^{2 t})^{2}

2 y^{^{''}} + 12 y^{^{'}} + 50 y = 0

What is the derivative of (3x^2-13^3) ?
The derivative of (3x^2-13^3) is 18x(3x^2-13)^2
What is the first derivative of (3x^2-13^3) ?
The first derivative of (3x^2-13^3) is 18x(3x^2-13)^2