What is the derivative of asin(5x) ?

The derivative of asin(5x) is acos(5x)*5

What is the first derivative of asin(5x) ?

The first derivative of asin(5x) is acos(5x)*5

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\frac{d}{d x} (a sin (5 x))

a cos (5 x) \cdot 5

Solution steps

\frac{d}{d x} (a sin (5 x))

Take the constant out:

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

= a \frac{d}{d x} (sin (5 x))

Apply the chain rule:

cos (5 x) \frac{d}{d x} (5 x)

= cos (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= a cos (5 x) \cdot 5

x \to - 3 lim (\frac{x ^{2}}{x ^{2} - 9})

\frac{\partial}{\partial x} (x sin (x^{2} - y^{2}))

(x + y e^{\frac{y}{x}}) d x - (x e^{\frac{y}{x}}) d y = 0

\frac{d}{d x} (\frac{- x ^{2} - 5}{( x ^{2} - 5 ) ^{2}})

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

What is the derivative of asin(5x) ?
The derivative of asin(5x) is acos(5x)*5
What is the first derivative of asin(5x) ?
The first derivative of asin(5x) is acos(5x)*5