What is the derivative of (4-2x^2)^3 ?

The derivative of (4-2x^2)^3 is -12x(4-2x^2)^2

What is the first derivative of (4-2x^2)^3 ?

The first derivative of (4-2x^2)^3 is -12x(4-2x^2)^2

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derivative of

(4 - 2 x^{2})^{3}

- 12 x (4 - 2 x^{2})^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 12 x (4 - 2 x^{2})^{2}

x^{^{'''}} + x^{^{''}} = 0

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

\int sin^{2} (5 x) cos^{2} (5 x) d x

(t + 1)^{\frac{2}{3}} (3 t^{2} - 2)^{3}

\frac{d}{d x} (\frac{e ^{x}}{1 + e ^{x}})

What is the derivative of (4-2x^2)^3 ?
The derivative of (4-2x^2)^3 is -12x(4-2x^2)^2
What is the first derivative of (4-2x^2)^3 ?
The first derivative of (4-2x^2)^3 is -12x(4-2x^2)^2