What is the derivative of ln(49sin(2)(x)) ?

The derivative of ln(49sin(2)(x)) is 1/x

What is the first derivative of ln(49sin(2)(x)) ?

The first derivative of ln(49sin(2)(x)) is 1/x

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derivative of

ln (49 sin (2) (x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (49 sin (2) x))

Apply the chain rule:

\frac{1}{49 sin ( 2 ) x} \frac{d}{d x} (49 sin (2) x)

= \frac{1}{49 sin ( 2 ) x} \frac{d}{d x} (49 sin (2) x)

\frac{d}{d x} (49 sin (2) x) = 49 sin (2)

= \frac{1}{49 sin ( 2 ) x} \cdot 49 sin (2)

Simplify

\frac{1}{49 sin ( 2 ) x} \cdot 49 sin (2) : \frac{1}{x}

= \frac{1}{x}

ln (1 + X)

\int \frac{3 x + 4}{( x ^{2} + 4 ) ( 3 - x )} d x

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

\int sin^{3} (y) d y

\frac{d}{d x} (6 cos (4 x))

What is the derivative of ln(49sin(2)(x)) ?
The derivative of ln(49sin(2)(x)) is 1/x
What is the first derivative of ln(49sin(2)(x)) ?
The first derivative of ln(49sin(2)(x)) is 1/x