What is the derivative of asin(3x) ?

The derivative of asin(3x) is acos(3x)*3

What is the first derivative of asin(3x) ?

The first derivative of asin(3x) is acos(3x)*3

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\frac{d}{d x} (a sin (3 x))

a cos (3 x) \cdot 3

Solution steps

\frac{d}{d x} (a sin (3 x))

Take the constant out:

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

= a \frac{d}{d x} (sin (3 x))

Apply the chain rule:

cos (3 x) \frac{d}{d x} (3 x)

= cos (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= a cos (3 x) \cdot 3

What is the derivative of asin(3x) ?
The derivative of asin(3x) is acos(3x)*3
What is the first derivative of asin(3x) ?
The first derivative of asin(3x) is acos(3x)*3