What is (\partial)/(\partial x)(3*(y+4)^3*(x-2)) ?

The answer to (\partial)/(\partial x)(3*(y+4)^3*(x-2)) is 3(y+4)^3

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(\partial)/(\partial x)(3(y+4)^3(x-2))

\frac{\partial}{\partial x} (3 \cdot (y + 4)^{3} \cdot (x - 2))

3 (y + 4)^{3}

Solution steps

\frac{\partial}{\partial x} (3 (y + 4)^{3} (x - 2))

Treat

y

as a constant

Take the constant out:

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

= 3 (y + 4)^{3} \frac{\partial}{\partial x} (x - 2)

Apply the Sum/Difference Rule:

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

= 3 (y + 4)^{3} (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (2))

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

\frac{\partial}{\partial x} (2) = 0

= 3 (y + 4)^{3} (1 - 0)

Simplify

= 3 (y + 4)^{3}

\int_{1}^{5} x d x

\frac{d}{d x} (2 4 - x^{2})

\frac{\partial}{\partial x} (\frac{4 - z ^{2}}{3 x})

\int \frac{x ^{2} + 3 x - 5}{x - 3} d x

x \to 5 + lim (\frac{2 - x}{x - 5})

What is (\partial)/(\partial x)(3*(y+4)^3*(x-2)) ?
The answer to (\partial)/(\partial x)(3*(y+4)^3*(x-2)) is 3(y+4)^3