What is (\partial)/(\partial y)(3x^2(1+ln(y))) ?

The answer to (\partial)/(\partial y)(3x^2(1+ln(y))) is (3x^2)/y

Popular >

(\partial)/(\partial y)(3x^2(1+ln(y)))

\frac{\partial}{\partial y} (3 x^{2} (1 + ln (y)))

\frac{3 x ^{2}}{y}

Solution steps

\frac{\partial}{\partial y} (3 x^{2} (1 + ln (y)))

Treat

x

as a constant

Take the constant out:

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

= 3 x^{2} \frac{\partial}{\partial y} (1 + ln (y))

Apply the Sum/Difference Rule:

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

= 3 x^{2} (\frac{\partial}{\partial y} (1) + \frac{\partial}{\partial y} (ln (y)))

\frac{\partial}{\partial y} (1) = 0

\frac{\partial}{\partial y} (ln (y)) = \frac{1}{y}

= 3 x^{2} (0 + \frac{1}{y})

Simplify

3 x^{2} (0 + \frac{1}{y}) : \frac{3 x ^{2}}{y}

= \frac{3 x ^{2}}{y}

x \to 0 lim (\frac{2 + x - 2}{x})

\frac{\partial}{\partial x} (13 - x^{2} - y^{2})

\int 9 sin^{2} (x co) s^{3} x d x

9 x = y^{2} + 27, 3 \leq x \leq 7

\int_{0}^{1} x^{2} e^{3 x} d x

What is (\partial)/(\partial y)(3x^2(1+ln(y))) ?
The answer to (\partial)/(\partial y)(3x^2(1+ln(y))) is (3x^2)/y