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

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

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

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

5 (y + 3)^{3}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

Simplify

= 5 (y + 3)^{3}

f (x) = (x^{2} + 2)^{2}

f (x) = (8 x^{3} + 3 x^{2})^{3}

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

x \to \infty lim (ln (5 x))

\int x x - 27 d x

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