What is the derivative of x(A+B) ?

The derivative of x(A+B) is A+B

What is the first derivative of x(A+B) ?

The first derivative of x(A+B) is A+B

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\frac{d}{d x} (x (A + B))

A + B

Solution steps

\frac{d}{d x} (x (A + B))

Treat

A, B

as constants

Take the constant out:

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

= (A + B) \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= (A + B) \cdot 1

Simplify

= A + B

x^{2} + 22 x + 121 = 15

4 a - \frac{a ^{2}}{2} = 1

t^{2} + 9 t + 18

2 x - 1 = x^{2}

3 (2 x + 2) > 24 - 4 x