What is the derivative of 9^x ?

The derivative of 9^x is 2ln(3)*9^x

What is the first derivative of 9^x ?

The first derivative of 9^x is 2ln(3)*9^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

9^{x}

2 ln (3) \cdot 9^{x}

Solution steps

\frac{d}{d x} (9^{x})

Apply the derivative exponent rule:

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

= 9^{x} ln (9)

Simplify

ln (9) : 2 ln (3)

= 2 ln (3) \cdot 9^{x}

\int \frac{sin ^{2} ( θ )}{cos ( θ )} d θ

x \to 5 lim (x^{2} + 24)

\int sin (7 x) \cdot cos (3 x) d x

\frac{d}{d x} (∣ x - 5 ∣)

(- 5.6) (4)