What is (\partial)/(\partial x)(5(y-1)^3(x-4)) ?

The answer to (\partial)/(\partial x)(5(y-1)^3(x-4)) is 5(y-1)^3

Popular >

(\partial)/(\partial x)(5(y-1)^3(x-4))

\frac{\partial}{\partial x} (5 (y - 1)^{3} (x - 4))

5 (y - 1)^{3}

Solution steps

\frac{\partial}{\partial x} (5 (y - 1)^{3} (x - 4))

Treat

y

as a constant

Take the constant out:

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

= 5 (y - 1)^{3} \frac{\partial}{\partial x} (x - 4)

Apply the Sum/Difference Rule:

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

= 5 (y - 1)^{3} (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (4))

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (4) = 0

= 5 (y - 1)^{3} (1 - 0)

Simplify

= 5 (y - 1)^{3}

x \to \infty + lim (\frac{2}{x} - 3)

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

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

\int \frac{2 + ln ( x )}{x} d x

\frac{d}{d x} (ln (1 + \frac{2}{x}))

What is (\partial)/(\partial x)(5(y-1)^3(x-4)) ?
The answer to (\partial)/(\partial x)(5(y-1)^3(x-4)) is 5(y-1)^3