What is the derivative of f(x)=sin(arcsin(6x)) ?

The derivative of f(x)=sin(arcsin(6x)) is 6

What is the first derivative of f(x)=sin(arcsin(6x)) ?

The first derivative of f(x)=sin(arcsin(6x)) is 6

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derivative of

f (x) = sin (arcsin (6 x))

6

Solution steps

\frac{d}{d x} (sin (arcsin (6 x)))

Simplify

sin (arcsin (6 x)) : 6 x

= \frac{d}{d x} (6 x)

Take the constant out:

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

= 6 \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 6 \cdot 1

Simplify

= 6

What is the derivative of f(x)=sin(arcsin(6x)) ?
The derivative of f(x)=sin(arcsin(6x)) is 6
What is the first derivative of f(x)=sin(arcsin(6x)) ?
The first derivative of f(x)=sin(arcsin(6x)) is 6