What is the derivative of cos(x+a) ?

The derivative of cos(x+a) is -sin(x+a)

What is the first derivative of cos(x+a) ?

The first derivative of cos(x+a) is -sin(x+a)

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\frac{d}{d x} (cos (x + a))

- sin (x + a)

Solution steps

\frac{d}{d x} (cos (x + a))

Apply the chain rule:

- sin (x + a) \frac{d}{d x} (x + a)

= - sin (x + a) \frac{d}{d x} (x + a)

\frac{d}{d x} (x + a) = 1

= - sin (x + a) \cdot 1

Simplify

= - sin (x + a)

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\int 3 x^{2} \cdot e^{x^{3}} d x

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