What is the derivative of sqrt(15x)ln(14x) ?

The derivative of sqrt(15x)ln(14x) is (sqrt(15)ln(14x)}{2sqrt(x)}+sqrt(\frac{15)/x)

What is the first derivative of sqrt(15x)ln(14x) ?

The first derivative of sqrt(15x)ln(14x) is (sqrt(15)ln(14x)}{2sqrt(x)}+sqrt(\frac{15)/x)

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derivative of

15 x ln (14 x)

\frac{15 ln ( 14 x )}{2 x} + \frac{15}{x}

Solution steps

\frac{d}{d x} (15 x ln (14 x))

Apply the Product Rule:

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

f = 15 x, g = ln (14 x)

= \frac{d}{d x} (15 x) ln (14 x) + \frac{d}{d x} (ln (14 x)) 15 x

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

\frac{d}{d x} (ln (14 x)) = \frac{1}{x}

= \frac{15}{2 x} ln (14 x) + \frac{1}{x} 15 x

Simplify

\frac{15}{2 x} ln (14 x) + \frac{1}{x} 15 x : \frac{15 ln ( 14 x )}{2 x} + \frac{15}{x}

= \frac{15 ln ( 14 x )}{2 x} + \frac{15}{x}

n = 2 \sum \infty \frac{3 n}{n ^{2} - 2}

x \to 5 + lim (\frac{6 x}{x - 5})

\int 3 x 5 x^{2} + 1 d x

\frac{d y}{d x} = (x + 2)^{2}

\frac{d}{d x} (arctan (\frac{y}{x}))

What is the derivative of sqrt(15x)ln(14x) ?
The derivative of sqrt(15x)ln(14x) is (sqrt(15)ln(14x)}{2sqrt(x)}+sqrt(\frac{15)/x)
What is the first derivative of sqrt(15x)ln(14x) ?
The first derivative of sqrt(15x)ln(14x) is (sqrt(15)ln(14x)}{2sqrt(x)}+sqrt(\frac{15)/x)