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

The derivative of f(x)=(2x^2-3)^3 is 12x(2x^2-3)^2

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

The first derivative of f(x)=(2x^2-3)^3 is 12x(2x^2-3)^2

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derivative of

f (x) = (2 x^{2} - 3)^{3}

12 x (2 x^{2} - 3)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{2} - 3) = 4 x

= 3 (2 x^{2} - 3)^{2} \cdot 4 x

Simplify

= 12 x (2 x^{2} - 3)^{2}

\int 8 x^{7} sin (x^{8}) d x

e^{(x + y)} (d x + d y) + 4 x d x = 0

θ \to \frac{π}{2} lim (θ cos (θ))

\int \frac{1}{9 x ^{2} + 16} d x

y^{^{'}} = (x + y - 2)^{2}

What is the derivative of f(x)=(2x^2-3)^3 ?
The derivative of f(x)=(2x^2-3)^3 is 12x(2x^2-3)^2
What is the first derivative of f(x)=(2x^2-3)^3 ?
The first derivative of f(x)=(2x^2-3)^3 is 12x(2x^2-3)^2