What is (\partial)/(\partial x)(cos^2(x)+cos^2(y)) ?

The answer to (\partial)/(\partial x)(cos^2(x)+cos^2(y)) is -sin(2x)

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(\partial)/(\partial x)(cos^2(x)+cos^2(y))

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

- sin (2 x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (cos^{2} (x)) = - sin (2 x)

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

= - sin (2 x) + 0

Simplify

= - sin (2 x)

\int_{1}^{2} 6 x^{4} ln (x) d x

f (x) = x^{3} ln (x)

\frac{d}{d x} ((tan (x))^{e^{x}})

\int x^{2} 5 x + 6 d x

x \to 0 lim (C e^{- 4 x})

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