What is the derivative of (4+ln(x))^7 ?

The derivative of (4+ln(x))^7 is (7(4+ln(x))^6)/x

What is the first derivative of (4+ln(x))^7 ?

The first derivative of (4+ln(x))^7 is (7(4+ln(x))^6)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(4 + ln (x))^{7}

\frac{7 ( 4 + ln ( x ) ) ^{6}}{x}

Solution steps

\frac{d}{d x} ((4 + ln (x))^{7})

Apply the chain rule:

7 (4 + ln (x))^{6} \frac{d}{d x} (4 + ln (x))

= 7 (4 + ln (x))^{6} \frac{d}{d x} (4 + ln (x))

\frac{d}{d x} (4 + ln (x)) = \frac{1}{x}

= 7 (4 + ln (x))^{6} \frac{1}{x}

Simplify

7 (4 + ln (x))^{6} \frac{1}{x} : \frac{7 ( 4 + ln ( x ) ) ^{6}}{x}

= \frac{7 ( 4 + ln ( x ) ) ^{6}}{x}

\frac{d y}{d t} + e^{t} y = - 6 e^{t}

f (x) = \frac{4 x}{x + 1}, (3, 3)

f (x) = 3 x + 1

\frac{d}{d x} ((ln (x))^{s i n (x)})

\frac{d y}{d t} = \frac{y}{t + 1} + 4 t^{2} + 4 t, y (1) = 6

What is the derivative of (4+ln(x))^7 ?
The derivative of (4+ln(x))^7 is (7(4+ln(x))^6)/x
What is the first derivative of (4+ln(x))^7 ?
The first derivative of (4+ln(x))^7 is (7(4+ln(x))^6)/x