What is the derivative of x^25^x ?

The derivative of x^25^x is 2x*5^x+5^xln(5)x^2

What is the first derivative of x^25^x ?

The first derivative of x^25^x is 2x*5^x+5^xln(5)x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{2} 5^{x}

2 x \cdot 5^{x} + 5^{x} ln (5) x^{2}

Solution steps

\frac{d}{d x} (x^{2} \cdot 5^{x})

Apply the Product Rule:

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

f = x^{2}, g = 5^{x}

= \frac{d}{d x} (x^{2}) 5^{x} + \frac{d}{d x} (5^{x}) x^{2}

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

\frac{d}{d x} (5^{x}) = 5^{x} ln (5)

= 2 x \cdot 5^{x} + 5^{x} ln (5) x^{2}

\frac{\partial}{\partial x} (ln (8 x^{2} + y^{2} + 3))

\frac{\partial}{\partial y} (15 x^{2} - 9 x y + 25 y^{2})

p (t) = 12 t e^{- \frac{t}{6}}

\int \frac{x + 1}{x ^{4} - 4 x ^{2}} d x

\int (\frac{y ^{2}}{2} - y tan (x)) d x

What is the derivative of x^25^x ?
The derivative of x^25^x is 2x*5^x+5^xln(5)x^2
What is the first derivative of x^25^x ?
The first derivative of x^25^x is 2x*5^x+5^xln(5)x^2