What is the derivative of 6cos(sin(x^2)) ?

The derivative of 6cos(sin(x^2)) is -12xsin(sin(x^2))cos(x^2)

What is the first derivative of 6cos(sin(x^2)) ?

The first derivative of 6cos(sin(x^2)) is -12xsin(sin(x^2))cos(x^2)

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derivative of

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

- 12 x sin (sin (x^{2})) cos (x^{2})

Solution steps

\frac{d}{d x} (6 cos (sin (x^{2})))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (cos (sin (x^{2})))

Apply the chain rule:

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

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

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

= 6 (- sin (sin (x^{2})) cos (x^{2}) \cdot 2 x)

Simplify

= - 12 x sin (sin (x^{2})) cos (x^{2})

\frac{d}{d x} (ln (1 + 0))

\int \frac{x}{4 - x} d x

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

(π)^{^{'}}

x \to 0 lim (\frac{1}{x} + 1)

What is the derivative of 6cos(sin(x^2)) ?
The derivative of 6cos(sin(x^2)) is -12xsin(sin(x^2))cos(x^2)
What is the first derivative of 6cos(sin(x^2)) ?
The first derivative of 6cos(sin(x^2)) is -12xsin(sin(x^2))cos(x^2)