What is the derivative of ((x+a^3)/b-c) ?

The derivative of ((x+a^3)/b-c) is (3(x+a)^2)/b

What is the first derivative of ((x+a^3)/b-c) ?

The first derivative of ((x+a^3)/b-c) is (3(x+a)^2)/b

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\frac{d}{d x} (\frac{( x + a ) ^{3}}{b} - c)

\frac{3 ( x + a ) ^{2}}{b}

Solution steps

\frac{d}{d x} (\frac{( x + a ) ^{3}}{b} - c)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{( x + a ) ^{3}}{b}) - \frac{d c}{d x}

\frac{d}{d x} (\frac{( x + a ) ^{3}}{b}) = \frac{3 ( x + a ) ^{2}}{b}

\frac{d c}{d x} = 0

= \frac{3 ( x + a ) ^{2}}{b} - 0

Simplify

= \frac{3 ( x + a ) ^{2}}{b}

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What is the derivative of ((x+a^3)/b-c) ?
The derivative of ((x+a^3)/b-c) is (3(x+a)^2)/b
What is the first derivative of ((x+a^3)/b-c) ?
The first derivative of ((x+a^3)/b-c) is (3(x+a)^2)/b