What is the derivative of e^{8xy} ?

The derivative of e^{8xy} is e^{8xy}*8y

What is the first derivative of e^{8xy} ?

The first derivative of e^{8xy} is e^{8xy}*8y

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derivative of

e^{8 x y}

e^{8 x y} \cdot 8 y

Solution steps

\frac{d}{d x} (e^{8 x y})

Treat

y

as a constant

Apply the chain rule:

e^{8 x y} \frac{d}{d x} (8 x y)

= e^{8 x y} \frac{d}{d x} (8 x y)

\frac{d}{d x} (8 x y) = 8 y

= e^{8 x y} \cdot 8 y

\frac{d}{d x} (x^{2} sin^{3} (x) + x cos^{- 5} (x))

\frac{d}{d x} (\frac{2}{( x + 1 ) ^{2}})

sin (x) \cdot cos (x)

\int - sin (x) \cdot cos^{2} (x) d x

\int \frac{1}{x ^{2} 4 x ^{2} - 9} d x

What is the derivative of e^{8xy} ?
The derivative of e^{8xy} is e^{8xy}*8y
What is the first derivative of e^{8xy} ?
The first derivative of e^{8xy} is e^{8xy}*8y