What is the derivative of f(x)=sqrt(15x)ln(8x) ?

The derivative of f(x)=sqrt(15x)ln(8x) is (sqrt(15)ln(8x)}{2sqrt(x)}+sqrt(\frac{15)/x)

What is the first derivative of f(x)=sqrt(15x)ln(8x) ?

The first derivative of f(x)=sqrt(15x)ln(8x) is (sqrt(15)ln(8x)}{2sqrt(x)}+sqrt(\frac{15)/x)

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derivative of

f (x) = 15 x ln (8 x)

\frac{15 ln ( 8 x )}{2 x} + \frac{15}{x}

Solution steps

\frac{d}{d x} (15 x ln (8 x))

Apply the Product Rule:

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

f = 15 x, g = ln (8 x)

= \frac{d}{d x} (15 x) ln (8 x) + \frac{d}{d x} (ln (8 x)) 15 x

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

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= \frac{15}{2 x} ln (8 x) + \frac{1}{x} 15 x

Simplify

\frac{15}{2 x} ln (8 x) + \frac{1}{x} 15 x : \frac{15 ln ( 8 x )}{2 x} + \frac{15}{x}

= \frac{15 ln ( 8 x )}{2 x} + \frac{15}{x}

\frac{\partial}{\partial x} (- 6 + 5 - 6 x)

\frac{d}{d x} (\frac{2}{x + 3})

n = 0 \sum \infty r^{n}

f (x) = x^{2} - 2, (- 3, 7)

\frac{( x + 1 ) d y}{d x} = x + 6

What is the derivative of f(x)=sqrt(15x)ln(8x) ?
The derivative of f(x)=sqrt(15x)ln(8x) is (sqrt(15)ln(8x)}{2sqrt(x)}+sqrt(\frac{15)/x)
What is the first derivative of f(x)=sqrt(15x)ln(8x) ?
The first derivative of f(x)=sqrt(15x)ln(8x) is (sqrt(15)ln(8x)}{2sqrt(x)}+sqrt(\frac{15)/x)