What is the derivative of cos(9sin(x)) ?

The derivative of cos(9sin(x)) is -sin(9sin(x))*9cos(x)

What is the first derivative of cos(9sin(x)) ?

The first derivative of cos(9sin(x)) is -sin(9sin(x))*9cos(x)

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\frac{d}{d x} (cos (9 sin (x)))

- sin (9 sin (x)) \cdot 9 cos (x)

Solution steps

\frac{d}{d x} (cos (9 sin (x)))

Apply the chain rule:

- sin (9 sin (x)) \frac{d}{d x} (9 sin (x))

= - sin (9 sin (x)) \frac{d}{d x} (9 sin (x))

\frac{d}{d x} (9 sin (x)) = 9 cos (x)

= - sin (9 sin (x)) \cdot 9 cos (x)

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

\int_{0}^{1} \frac{1 + x}{1 + 2 x} d x

\frac{e ^{x}}{1 + x}

\frac{d y}{d x} + a y + b = 0

x \to 3 - lim (\frac{x + 3}{2})

What is the derivative of cos(9sin(x)) ?
The derivative of cos(9sin(x)) is -sin(9sin(x))*9cos(x)
What is the first derivative of cos(9sin(x)) ?
The first derivative of cos(9sin(x)) is -sin(9sin(x))*9cos(x)