What is the derivative of asin(2x) ?

The derivative of asin(2x) is acos(2x)*2

What is the first derivative of asin(2x) ?

The first derivative of asin(2x) is acos(2x)*2

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\frac{d}{d x} (a sin (2 x))

a cos (2 x) \cdot 2

Solution steps

\frac{d}{d x} (a sin (2 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{d}{d x} (sin (2 x))

Apply the chain rule:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= a cos (2 x) \cdot 2

What is the derivative of asin(2x) ?
The derivative of asin(2x) is acos(2x)*2
What is the first derivative of asin(2x) ?
The first derivative of asin(2x) is acos(2x)*2