What is the derivative of 7(4e^x-27)^5 ?

The derivative of 7(4e^x-27)^5 is 140e^x(4e^x-27)^4

What is the first derivative of 7(4e^x-27)^5 ?

The first derivative of 7(4e^x-27)^5 is 140e^x(4e^x-27)^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

7 (4 e^{x} - 27)^{5}

140 e^{x} (4 e^{x} - 27)^{4}

Solution steps

\frac{d}{d x} (7 (4 e^{x} - 27)^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} ((4 e^{x} - 27)^{5})

Apply the chain rule:

5 (4 e^{x} - 27)^{4} \frac{d}{d x} (4 e^{x} - 27)

= 5 (4 e^{x} - 27)^{4} \frac{d}{d x} (4 e^{x} - 27)

\frac{d}{d x} (4 e^{x} - 27) = 4 e^{x}

= 7 \cdot 5 (4 e^{x} - 27)^{4} \cdot 4 e^{x}

Simplify

= 140 e^{x} (4 e^{x} - 27)^{4}

\int_{1}^{5} 1 + 2^{2} d x

x \to \infty lim (\frac{1}{9})

7^{^{'}}

y^{^{''}} + y = (t^{2} + t) sin (t)

\frac{d y}{d x}, x y = 18

What is the derivative of 7(4e^x-27)^5 ?
The derivative of 7(4e^x-27)^5 is 140e^x(4e^x-27)^4
What is the first derivative of 7(4e^x-27)^5 ?
The first derivative of 7(4e^x-27)^5 is 140e^x(4e^x-27)^4