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

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

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

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

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

- 2 b (a - b x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (a - b x) (- b)

Simplify

= - 2 b (a - b x)

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