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

The derivative of h(x)=(x^2-3)^3 is 6x(x^2-3)^2

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

The first derivative of h(x)=(x^2-3)^3 is 6x(x^2-3)^2

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 x (x^{2} - 3)^{2}

\int_{- 8}^{2} \frac{1}{∣ 2 x ∣} d x

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

y^{^{'''}} - y^{^{''}} - 16 y^{^{'}} + 16 y = 0

x \to 0 lim (\frac{sin ^{5} ( x )}{x})

\frac{\partial}{\partial y} (3 x^{2} - 5 y)

What is the derivative of h(x)=(x^2-3)^3 ?
The derivative of h(x)=(x^2-3)^3 is 6x(x^2-3)^2
What is the first derivative of h(x)=(x^2-3)^3 ?
The first derivative of h(x)=(x^2-3)^3 is 6x(x^2-3)^2