What is the derivative of xlog_{3}(x) ?

The derivative of xlog_{3}(x) is log_{3}(x)+1/(ln(3))

What is the first derivative of xlog_{3}(x) ?

The first derivative of xlog_{3}(x) is log_{3}(x)+1/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x lo g_{3} (x)

lo g_{3} (x) + \frac{1}{ln ( 3 )}

Solution steps

\frac{d}{d x} (x lo g_{3} (x))

Apply the Product Rule:

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

f = x, g = lo g_{3} (x)

= \frac{d x}{d x} lo g_{3} (x) + \frac{d}{d x} (lo g_{3} (x)) x

\frac{d x}{d x} = 1

\frac{d}{d x} (lo g_{3} (x)) = \frac{1}{x ln ( 3 )}

= 1 \cdot lo g_{3} (x) + \frac{1}{x ln ( 3 )} x

Simplify

1 \cdot lo g_{3} (x) + \frac{1}{x ln ( 3 )} x : lo g_{3} (x) + \frac{1}{ln ( 3 )}

= lo g_{3} (x) + \frac{1}{ln ( 3 )}

\frac{d}{d x} (\frac{2}{3} (1 + x)^{\frac{3}{2}})

\frac{\partial}{\partial x} (4 y cos (x y))

x tan (x)

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

5 - 4 x^{3}

What is the derivative of xlog_{3}(x) ?
The derivative of xlog_{3}(x) is log_{3}(x)+1/(ln(3))
What is the first derivative of xlog_{3}(x) ?
The first derivative of xlog_{3}(x) is log_{3}(x)+1/(ln(3))