What is the derivative of f(x)=sin(7ln(x)) ?

The derivative of f(x)=sin(7ln(x)) is (7cos(7ln(x)))/x

What is the first derivative of f(x)=sin(7ln(x)) ?

The first derivative of f(x)=sin(7ln(x)) is (7cos(7ln(x)))/x

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derivative of

f (x) = sin (7 ln (x))

\frac{7 cos ( 7 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (sin (7 ln (x)))

Apply the chain rule:

cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

= cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

\frac{d}{d x} (7 ln (x)) = \frac{7}{x}

= cos (7 ln (x)) \frac{7}{x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 cos ( 7 ln ( x ) )}{x}

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{2}) = 0

n = 0 \sum \infty (x + 3)^{n}

\int_{0}^{\frac{π}{2}} 6 sin^{2} (3 x) d x

x \cdot \frac{d y}{d x} - y = x^{2} + y^{2}

\frac{d}{d x} (64 sin (4 x))

What is the derivative of f(x)=sin(7ln(x)) ?
The derivative of f(x)=sin(7ln(x)) is (7cos(7ln(x)))/x
What is the first derivative of f(x)=sin(7ln(x)) ?
The first derivative of f(x)=sin(7ln(x)) is (7cos(7ln(x)))/x