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

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

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

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

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

- sin (3 sin (x)) \cdot 3 cos (x)

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d ^{2}}{d x ^{2}} y + 49 y = 0

\frac{d}{d x} ((3 x - 1)^{2})

x \to 7 lim (\frac{( x + 7 )}{x - 7})

n = 0 \sum \infty (- 2)^{3 - 2 n} \cdot 3

2^{x}

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