What is the derivative of a(x-h^2+k) ?

The derivative of a(x-h^2+k) is 2a(x-h)

What is the first derivative of a(x-h^2+k) ?

The first derivative of a(x-h^2+k) is 2a(x-h)

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\frac{d}{d x} (a (x - h)^{2} + k)

2 a (x - h)

Solution steps

\frac{d}{d x} (a (x - h)^{2} + k)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a (x - h)^{2}) + \frac{d k}{d x}

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

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

= 2 a (x - h) + 0

Simplify

= 2 a (x - h)

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

\int_{0}^{\infty} e^{- t} d t

\frac{d}{d x} (5 x^{2} + 3 x - 1)

\frac{1}{2 y}

\frac{16}{( 5 - x ) ^{2}} - 1

What is the derivative of a(x-h^2+k) ?
The derivative of a(x-h^2+k) is 2a(x-h)
What is the first derivative of a(x-h^2+k) ?
The first derivative of a(x-h^2+k) is 2a(x-h)