What is the derivative of y=sin^3(x^2) ?

The derivative of y=sin^3(x^2) is 6xsin^2(x^2)cos(x^2)

What is the first derivative of y=sin^3(x^2) ?

The first derivative of y=sin^3(x^2) is 6xsin^2(x^2)cos(x^2)

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derivative of

y = sin^{3} (x^{2})

6 x sin^{2} (x^{2}) cos (x^{2})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= 3 (sin (x^{2}))^{2} cos (x^{2}) \cdot 2 x

Simplify

= 6 x sin^{2} (x^{2}) cos (x^{2})

n = 1 \sum \infty (- \frac{7}{4})^{2}

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

x^{3} ln (x + 1)

2 x csc (x) - x^{2} cot (x) csc (x)

- \frac{3}{8} x (x - 8), 10 - \frac{x}{2}, 2, 8

What is the derivative of y=sin^3(x^2) ?
The derivative of y=sin^3(x^2) is 6xsin^2(x^2)cos(x^2)
What is the first derivative of y=sin^3(x^2) ?
The first derivative of y=sin^3(x^2) is 6xsin^2(x^2)cos(x^2)