What is the derivative of ax^{b^2-c} ?

The derivative of ax^{b^2-c} is a(b^2-c)x^{b^2-c-1}

What is the first derivative of ax^{b^2-c} ?

The first derivative of ax^{b^2-c} is a(b^2-c)x^{b^2-c-1}

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\frac{d}{d x} (a x^{b^{2} - c})

a (b^{2} - c) x^{b^{2} - c - 1}

Solution steps

\frac{d}{d x} (a x^{b^{2} - c})

Take the constant out:

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

= a \frac{d}{d x} (x^{b^{2} - c})

Apply the Power Rule:

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

= a (b^{2} - c) x^{b^{2} - c - 1}

\frac{\partial}{\partial x} (x y + 2 z)

f (x) = x^{- \frac{1}{5}} + x^{\frac{1}{5}}

x \to 1 - lim (G (x))

x \to - \infty lim (- 5^{x})

x \to 0 lim (\frac{x ^{3}}{x ^{2} + x})

What is the derivative of ax^{b^2-c} ?
The derivative of ax^{b^2-c} is a(b^2-c)x^{b^2-c-1}
What is the first derivative of ax^{b^2-c} ?
The first derivative of ax^{b^2-c} is a(b^2-c)x^{b^2-c-1}