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

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

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

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

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derivative of

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

6 x^{2} sin (x^{3}) cos (x^{3})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 x^{2} sin (x^{3}) cos (x^{3})

\int \frac{3 x ^{2}}{x ^{3} + 1} d x

h \to 0 lim (\frac{( h - 3 ) ^{2} - 9}{h})

8 + x^{2}, 1

f (x) = 4 x^{5} ln (x)

ln (1 - x^{2})

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