What is the derivative of cos(nx) ?

The derivative of cos(nx) is -sin(nx)n

What is the first derivative of cos(nx) ?

The first derivative of cos(nx) is -sin(nx)n

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

- sin (n x) n

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (n x) = n

= - sin (n x) n

\frac{d y}{d x} = x^{3} y^{3}

\frac{\partial}{\partial x} (x arcsin (\frac{y}{x}))

(x^{2} + 9)^{2} (x - 9)

(sin (t) cos (t))^{^{'}}

\frac{d ^{5}}{d x ^{5}} (x^{\frac{11}{2}})

What is the derivative of cos(nx) ?
The derivative of cos(nx) is -sin(nx)n
What is the first derivative of cos(nx) ?
The first derivative of cos(nx) is -sin(nx)n