What is implicit (dy)/(dx),y=e^{9x^5} ?

The answer to implicit (dy)/(dx),y=e^{9x^5} is (dy)/(dx)=e^{9x^5}*45x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),y=e^{9x^5}

implicit derivative

\frac{d y}{d x}, y = e^{9 x^{5}}

\frac{d y}{d x} = e^{9 x^{5}} \cdot 45 x^{4}

Solution steps

y = e^{9 x^{5}}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = e^{9 x^{5}} \cdot 45 x^{4}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = e^{9 x^{5}} \cdot 45 x^{4}

\frac{d y}{d x} = e^{9 x^{5}} \cdot 45 x^{4}

arccsc (x)

\int \frac{x ^{3} + 2 x - 6}{x ^{3}} d x

\frac{d}{d x} (\frac{1}{4 x ^{\frac{3}{2}}})

k = 1 \sum \infty k x^{k - 1}

y^{^{''}} - 9 y^{^{'}} + 18 y = - 4 cos (3 t)

What is implicit (dy)/(dx),y=e^{9x^5} ?
The answer to implicit (dy)/(dx),y=e^{9x^5} is (dy)/(dx)=e^{9x^5}*45x^4