What is (\partial)/(\partial x)(sin(y^2)+6e^x) ?

The answer to (\partial)/(\partial x)(sin(y^2)+6e^x) is 6e^x

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(\partial)/(\partial x)(sin(y^2)+6e^x)

\frac{\partial}{\partial x} (sin (y^{2}) + 6 e^{x})

6 e^{x}

Solution steps

\frac{\partial}{\partial x} (sin (y^{2}) + 6 e^{x})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (sin (y^{2})) + \frac{\partial}{\partial x} (6 e^{x})

\frac{\partial}{\partial x} (sin (y^{2})) = 0

\frac{\partial}{\partial x} (6 e^{x}) = 6 e^{x}

= 0 + 6 e^{x}

Simplify

= 6 e^{x}

e^{2 y}

(\frac{( s + 1 )}{s ^{4}})^{3}

\int x (x + 1)^{5} d x

\int (3 x - 4) e^{(- x)} d x

\frac{d}{d x} (2 x^{4} + x^{2} - x^{2} + 4)

What is (\partial)/(\partial x)(sin(y^2)+6e^x) ?
The answer to (\partial)/(\partial x)(sin(y^2)+6e^x) is 6e^x