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)

\int_{0}^{\frac{1}{5}} x arcsin (5 x) d x

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

x \to 0 lim (\frac{tan ( 2 x )}{5 x})

\int \frac{4 sin ( x )}{( 1 + cos ( x ) ) ^{2}} d x

f (x) = x^{2} - \frac{1}{x}, at (- 1)

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)