What is implicit (dy)/(dx),y=3^x ?

The answer to implicit (dy)/(dx),y=3^x is (dy)/(dx)=3^xln(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),y=3^x

implicit derivative

\frac{d y}{d x}, y = 3^{x}

\frac{d y}{d x} = 3^{x} ln (3)

Solution steps

y = 3^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 3^{x} ln (3)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 3^{x} ln (3)

\frac{d y}{d x} = 3^{x} ln (3)

\frac{d}{d x} (\frac{1}{x ^{\frac{3}{4}}})

x \to 3 lim (x)

y = x^{2} - 2 x - 3

\int \frac{x ^{2}}{x ^{2} - 36} d x

x \to 2 lim (3 x + h^{2} - 7)

What is implicit (dy)/(dx),y=3^x ?
The answer to implicit (dy)/(dx),y=3^x is (dy)/(dx)=3^xln(3)