What is (\partial)/(\partial x)(e^{2(2x+y)}) ?

The answer to (\partial)/(\partial x)(e^{2(2x+y)}) is e^{2(2x+y)}*4

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(\partial)/(\partial x)(e^{2(2x+y)})

\frac{\partial}{\partial x} (e^{2 (2 x + y)})

e^{2 (2 x + y)} \cdot 4

Solution steps

\frac{\partial}{\partial x} (e^{2 (2 x + y)})

Treat

y

as a constant

Apply the chain rule:

e^{2 (2 x + y)} \frac{\partial}{\partial x} (2 (2 x + y))

= e^{2 (2 x + y)} \frac{\partial}{\partial x} (2 (2 x + y))

\frac{\partial}{\partial x} (2 (2 x + y)) = 4

= e^{2 (2 x + y)} \cdot 4

ln (x^{2} - 1)

n = 0 \sum \infty n x^{n - 1}

\frac{d}{d x} (x^{\frac{- 5}{9}})

f (x) = e^{- \frac{x ^{2}}{2}}

\int_{2}^{8} (- x + 10) d x

What is (\partial)/(\partial x)(e^{2(2x+y)}) ?
The answer to (\partial)/(\partial x)(e^{2(2x+y)}) is e^{2(2x+y)}*4