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

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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}

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