What is the derivative of asin(2ax) ?

The derivative of asin(2ax) is 2a^2cos(2ax)

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

The first derivative of asin(2ax) is 2a^2cos(2ax)

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

2 a^{2} cos (2 a x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= a cos (2 a x) \cdot 2 a

Simplify

a cos (2 a x) \cdot 2 a : 2 a^{2} cos (2 a x)

= 2 a^{2} cos (2 a x)

y^{^{'}} + \frac{1}{3} y = t

\int e^{- 2 x} sin (x) d x

\frac{d}{d x} (csc^{2} (x) cot (x))

\frac{d}{d x} (7 x (x^{3} - 4 x + 5))

\int \frac{u ^{3}}{1 + u ^{2}} d u

What is the derivative of asin(2ax) ?
The derivative of asin(2ax) is 2a^2cos(2ax)
What is the first derivative of asin(2ax) ?
The first derivative of asin(2ax) is 2a^2cos(2ax)