What is the derivative of sin(8cos(x)) ?

The derivative of sin(8cos(x)) is -8cos(8cos(x))sin(x)

What is the first derivative of sin(8cos(x)) ?

The first derivative of sin(8cos(x)) is -8cos(8cos(x))sin(x)

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\frac{d}{d x} (sin (8 cos (x)))

- 8 cos (8 cos (x)) sin (x)

Solution steps

\frac{d}{d x} (sin (8 cos (x)))

Apply the chain rule:

cos (8 cos (x)) \frac{d}{d x} (8 cos (x))

= cos (8 cos (x)) \frac{d}{d x} (8 cos (x))

\frac{d}{d x} (8 cos (x)) = - 8 sin (x)

= cos (8 cos (x)) (- 8 sin (x))

Simplify

= - 8 cos (8 cos (x)) sin (x)

\int \frac{tan ^{3} ( θ )}{cos ^{4} ( θ )} d θ

x y^{^{''}} + y^{^{'}} = 0

\frac{d}{d x} (π^{x})

\frac{\partial}{\partial x} (\frac{sin ( x )}{x})

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 4, y^{^{'}} (0) = 1

What is the derivative of sin(8cos(x)) ?
The derivative of sin(8cos(x)) is -8cos(8cos(x))sin(x)
What is the first derivative of sin(8cos(x)) ?
The first derivative of sin(8cos(x)) is -8cos(8cos(x))sin(x)