What is the derivative of sin(x^6) ?

The derivative of sin(x^6) is cos(x^6)*6x^5

What is the first derivative of sin(x^6) ?

The first derivative of sin(x^6) is cos(x^6)*6x^5

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\frac{d}{d x} (sin (x^{6}))

cos (x^{6}) \cdot 6 x^{5}

Solution steps

\frac{d}{d x} (sin (x^{6}))

Apply the chain rule:

cos (x^{6}) \frac{d}{d x} (x^{6})

= cos (x^{6}) \frac{d}{d x} (x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

= cos (x^{6}) \cdot 6 x^{5}

\frac{d}{d x} (- \frac{24 x ( x ^{2} + 3 )}{( x ^{2} - 3 ) ^{4}})

\int cos (x) (6 + 8 sin^{2} (x)) d x

2 x^{2}, 8 x^{2}, - 3 x + 5

\int \frac{1}{sin ^{2} ( x ) cos ^{4} ( x )} d x

\frac{d}{d x} (e^{x} sin (x) + cos (x))

What is the derivative of sin(x^6) ?
The derivative of sin(x^6) is cos(x^6)*6x^5
What is the first derivative of sin(x^6) ?
The first derivative of sin(x^6) is cos(x^6)*6x^5