What is the derivative of f(x)=(2e^x-3x^5) ?

The derivative of f(x)=(2e^x-3x^5) is 2e^x-15x^4

What is the first derivative of f(x)=(2e^x-3x^5) ?

The first derivative of f(x)=(2e^x-3x^5) is 2e^x-15x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = (2 e^{x} - 3 x^{5})

2 e^{x} - 15 x^{4}

Solution steps

\frac{d}{d x} ((2 e^{x} - 3 x^{5}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (3 x^{5})

\frac{d}{d x} (2 e^{x}) = 2 e^{x}

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

= 2 e^{x} - 15 x^{4}

What is the derivative of f(x)=(2e^x-3x^5) ?
The derivative of f(x)=(2e^x-3x^5) is 2e^x-15x^4
What is the first derivative of f(x)=(2e^x-3x^5) ?
The first derivative of f(x)=(2e^x-3x^5) is 2e^x-15x^4