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

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

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

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

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

2 k (x - a)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 k (x - a) + 0

Simplify

= 2 k (x - a)

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