What is the derivative of y=sqrt(15x)ln(13x) ?

The derivative of y=sqrt(15x)ln(13x) is (sqrt(15)ln(13x)}{2sqrt(x)}+sqrt(\frac{15)/x)

What is the first derivative of y=sqrt(15x)ln(13x) ?

The first derivative of y=sqrt(15x)ln(13x) is (sqrt(15)ln(13x)}{2sqrt(x)}+sqrt(\frac{15)/x)

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derivative of

y = 15 x ln (13 x)

\frac{15 ln ( 13 x )}{2 x} + \frac{15}{x}

Solution steps

\frac{d}{d x} (15 x ln (13 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 15 x, g = ln (13 x)

= \frac{d}{d x} (15 x) ln (13 x) + \frac{d}{d x} (ln (13 x)) 15 x

\frac{d}{d x} (15 x) = \frac{15}{2 x}

\frac{d}{d x} (ln (13 x)) = \frac{1}{x}

= \frac{15}{2 x} ln (13 x) + \frac{1}{x} 15 x

Simplify

\frac{15}{2 x} ln (13 x) + \frac{1}{x} 15 x : \frac{15 ln ( 13 x )}{2 x} + \frac{15}{x}

= \frac{15 ln ( 13 x )}{2 x} + \frac{15}{x}

\int x \cdot sin^{2} (x) d x

\int_{0}^{2} y^{2} d y

\frac{d}{d x} (- 2 sin (x^{2}) - 4 x^{2} cos (x^{2}))

\int \frac{1}{x ^{2} + x - 12} d x

t e^{- t}

What is the derivative of y=sqrt(15x)ln(13x) ?
The derivative of y=sqrt(15x)ln(13x) is (sqrt(15)ln(13x)}{2sqrt(x)}+sqrt(\frac{15)/x)
What is the first derivative of y=sqrt(15x)ln(13x) ?
The first derivative of y=sqrt(15x)ln(13x) is (sqrt(15)ln(13x)}{2sqrt(x)}+sqrt(\frac{15)/x)