What is the derivative of a(x-b^2) ?

The derivative of a(x-b^2) is 2a(x-b)

What is the first derivative of a(x-b^2) ?

The first derivative of a(x-b^2) is 2a(x-b)

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

2 a (x - b)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

2 (x - b) \frac{d}{d x} (x - b)

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

\frac{d}{d x} (x - b) = 1

= a \cdot 2 (x - b) \cdot 1

Simplify

= 2 a (x - b)

\frac{d}{d x} ((1 - x)^{- \frac{1}{2}})

\frac{900}{s ^{2} + 90 s + 900}

\int 8 x + 6 cos (x) d x

\int_{0}^{x} e^{- u} d u

(\frac{1}{sin ( x )})^{^{'}}

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