What is (\partial)/(\partial x)(yln(x^2+y^2+5)-7) ?

The answer to (\partial)/(\partial x)(yln(x^2+y^2+5)-7) is (2yx)/(y^2+x^2+5)

Popular >

(\partial)/(\partial x)(yln(x^2+y^2+5)-7)

\frac{\partial}{\partial x} (y ln (x^{2} + y^{2} + 5) - 7)

\frac{2 y x}{y ^{2} + x ^{2} + 5}

Solution steps

\frac{\partial}{\partial x} (y ln (x^{2} + y^{2} + 5) - 7)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (y ln (x^{2} + y^{2} + 5)) - \frac{\partial}{\partial x} (7)

\frac{\partial}{\partial x} (y ln (x^{2} + y^{2} + 5)) = \frac{2 y x}{x ^{2} + y ^{2} + 5}

\frac{\partial}{\partial x} (7) = 0

= \frac{2 y x}{x ^{2} + y ^{2} + 5} - 0

Simplify

= \frac{2 y x}{y ^{2} + x ^{2} + 5}

\int \frac{- 1}{x - 2} d x

\int 4 x^{3} + e^{x} + 1 d x

F (x) = 4 x^{6} (x^{4} - 6 x)

\int (5 x^{3} + 2 x^{2} - 2 x + 1) d x

\frac{x}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

What is (\partial)/(\partial x)(yln(x^2+y^2+5)-7) ?
The answer to (\partial)/(\partial x)(yln(x^2+y^2+5)-7) is (2yx)/(y^2+x^2+5)