What is (\partial)/(\partial x)((x^3b^4)/(c^2d^4)) ?

The answer to (\partial)/(\partial x)((x^3b^4)/(c^2d^4)) is (3b^4x^2)/(c^2d^4)

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(\partial)/(\partial x)((x^3b^4)/(c^2d^4))

\frac{\partial}{\partial x} (\frac{x ^{3} b ^{4}}{c ^{2} d ^{4}})

\frac{3 b ^{4} x ^{2}}{c ^{2} d ^{4}}

Solution steps

\frac{\partial}{\partial x} (\frac{x ^{3} b ^{4}}{c ^{2} d ^{4}})

Take the constant out:

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

= \frac{b ^{4}}{c ^{2} d ^{4}} \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{b ^{4}}{c ^{2} d ^{4}} \cdot 3 x^{3 - 1}

Simplify

\frac{b ^{4}}{c ^{2} d ^{4}} \cdot 3 x^{3 - 1} : \frac{3 b ^{4} x ^{2}}{c ^{2} d ^{4}}

= \frac{3 b ^{4} x ^{2}}{c ^{2} d ^{4}}

y = 4 x, x = 0, y = 4

\frac{d y}{d x} = \frac{( y - x y )}{x ^{2}}

x \to 0 lim (4 - x)

\frac{d}{d x} (- 2 9 x^{2} + 8)

y = lo g_{5} (x^{4} - 7)

What is (\partial)/(\partial x)((x^3b^4)/(c^2d^4)) ?
The answer to (\partial)/(\partial x)((x^3b^4)/(c^2d^4)) is (3b^4x^2)/(c^2d^4)