What is the derivative of (6x^2+5)^3 ?

The derivative of (6x^2+5)^3 is 36x(6x^2+5)^2

What is the first derivative of (6x^2+5)^3 ?

The first derivative of (6x^2+5)^3 is 36x(6x^2+5)^2

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derivative of

(6 x^{2} + 5)^{3}

36 x (6 x^{2} + 5)^{2}

Solution steps

\frac{d}{d x} ((6 x^{2} + 5)^{3})

Apply the chain rule:

3 (6 x^{2} + 5)^{2} \frac{d}{d x} (6 x^{2} + 5)

= 3 (6 x^{2} + 5)^{2} \frac{d}{d x} (6 x^{2} + 5)

\frac{d}{d x} (6 x^{2} + 5) = 12 x

= 3 (6 x^{2} + 5)^{2} \cdot 12 x

Simplify

= 36 x (6 x^{2} + 5)^{2}

\frac{d}{d x} (x + 2 cos (x))

\int sec (3 θ) tan (3 θ) d θ

3 t

\frac{\partial}{\partial y} (- x e^{x y})

\frac{\partial}{\partial x} (6 x^{7} y^{6} + 2 x^{5} y^{8})

What is the derivative of (6x^2+5)^3 ?
The derivative of (6x^2+5)^3 is 36x(6x^2+5)^2
What is the first derivative of (6x^2+5)^3 ?
The first derivative of (6x^2+5)^3 is 36x(6x^2+5)^2