What is (\partial)/(\partial x)(e^{8x+3y}) ?

The answer to (\partial)/(\partial x)(e^{8x+3y}) is e^{8x+3y}*8

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(\partial)/(\partial x)(e^{8x+3y})

\frac{\partial}{\partial x} (e^{8 x + 3 y})

e^{8 x + 3 y} \cdot 8

Solution steps

\frac{\partial}{\partial x} (e^{8 x + 3 y})

Treat

y

as a constant

Apply the chain rule:

e^{8 x + 3 y} \frac{\partial}{\partial x} (8 x + 3 y)

= e^{8 x + 3 y} \frac{\partial}{\partial x} (8 x + 3 y)

\frac{\partial}{\partial x} (8 x + 3 y) = 8

= e^{8 x + 3 y} \cdot 8

\int [\frac{1}{( 4 + x ^{2} )}] d x

y = 2 x^{3}, (- 3, - 54)

x \to - 5 lim (\frac{x + 4}{x + 5})

\int_{1}^{3} (x^{2} + 3)^{3} x d x

\int x x^{2} + 1 d x

What is (\partial)/(\partial x)(e^{8x+3y}) ?
The answer to (\partial)/(\partial x)(e^{8x+3y}) is e^{8x+3y}*8