What is the derivative of sin(3cos(x)) ?

The derivative of sin(3cos(x)) is -3cos(3cos(x))sin(x)

What is the first derivative of sin(3cos(x)) ?

The first derivative of sin(3cos(x)) is -3cos(3cos(x))sin(x)

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\frac{d}{d x} (sin (3 cos (x)))

- 3 cos (3 cos (x)) sin (x)

Solution steps

\frac{d}{d x} (sin (3 cos (x)))

Apply the chain rule:

cos (3 cos (x)) \frac{d}{d x} (3 cos (x))

= cos (3 cos (x)) \frac{d}{d x} (3 cos (x))

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

= cos (3 cos (x)) (- 3 sin (x))

Simplify

= - 3 cos (3 cos (x)) sin (x)

\frac{\partial}{\partial s} (s t^{2})

y^{^{'}} (x^{2} + 1) + 9 x (y - 1) = 0

x \to 0 + lim (a x^{x} + 1)

\frac{d y}{d x} + 4 y = 3

y^{'} + y = y^{2}

What is the derivative of sin(3cos(x)) ?
The derivative of sin(3cos(x)) is -3cos(3cos(x))sin(x)
What is the first derivative of sin(3cos(x)) ?
The first derivative of sin(3cos(x)) is -3cos(3cos(x))sin(x)