What is (\partial)/(\partial x)(6e^{x^3y^2}) ?

The answer to (\partial)/(\partial x)(6e^{x^3y^2}) is 18e^{x^3y^2}x^2y^2

Popular >

(\partial)/(\partial x)(6e^{x^3y^2})

\frac{\partial}{\partial x} (6 e^{x^{3} y^{2}})

18 e^{x^{3} y^{2}} x^{2} y^{2}

Solution steps

\frac{\partial}{\partial x} (6 e^{x^{3} y^{2}})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (e^{x^{3} y^{2}})

Apply the chain rule:

e^{x^{3} y^{2}} \frac{\partial}{\partial x} (x^{3} y^{2})

= e^{x^{3} y^{2}} \frac{\partial}{\partial x} (x^{3} y^{2})

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

= 6 e^{x^{3} y^{2}} \cdot 3 y^{2} x^{2}

Simplify

= 18 e^{x^{3} y^{2}} x^{2} y^{2}

5 x^{2} + 5 x + 2

\int x^{\frac{3}{2}} (x^{2} + 3) (x + 2) d x

y^{^{'''}} + y^{^{''}} - 2 y = 0

x \to 3 lim (\frac{4 x ^{2} - 36}{2 x - 6})

x \to 1 lim (3 x^{2} - 5 x + 4)

What is (\partial)/(\partial x)(6e^{x^3y^2}) ?
The answer to (\partial)/(\partial x)(6e^{x^3y^2}) is 18e^{x^3y^2}x^2y^2