Solve x^2-25x^2

$${ x }^{ 2 } -25 { x }^{ 2 }$$

Differentiate w.r.t. x

$$-48x$$

Steps Using Definition of a Derivative

Combine x^{2} and -25x^{2} to get -24x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-24x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\left(-24\right)x^{2-1}$$

Multiply 2 times -24.

$$-48x^{2-1}$$

Subtract 1 from 2.

$$-48x^{1}$$

For any term t, t^{1}=t.

$$-48x$$

Evaluate

$$-24x^{2}$$

Solution Steps

Combine x^{2} and -25x^{2} to get -24x^{2}.

$$-24x^{2}$$