What is (\partial)/(\partial x)(e^{8x}cos(5y)) ?

The answer to (\partial)/(\partial x)(e^{8x}cos(5y)) is cos(5y)e^{8x}*8

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(\partial)/(\partial x)(e^{8x}cos(5y))

\frac{\partial}{\partial x} (e^{8 x} cos (5 y))

cos (5 y) e^{8 x} \cdot 8

Solution steps

\frac{\partial}{\partial x} (e^{8 x} cos (5 y))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (5 y) \frac{\partial}{\partial x} (e^{8 x})

Apply the chain rule:

e^{8 x} \frac{\partial}{\partial x} (8 x)

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

\frac{\partial}{\partial x} (8 x) = 8

= cos (5 y) e^{8 x} \cdot 8

\frac{d}{d x} (5 csc (x))

x \to a lim (x^{2})

\int \frac{1}{t ^{2}} sin (\frac{8}{t} + 3) d t

3 + \frac{1}{s}

\int_{o}^{1} 42 x (1 - x)^{5} d x

What is (\partial)/(\partial x)(e^{8x}cos(5y)) ?
The answer to (\partial)/(\partial x)(e^{8x}cos(5y)) is cos(5y)e^{8x}*8