Solve -4x^2+x^2

$$- 4 x ^ { 2 } + x ^ { 2 }$$

Differentiate w.r.t. x

$$-6x$$

Steps Using Definition of a Derivative

Combine -4x^{2} and x^{2} to get -3x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{2})$$

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

$$2\left(-3\right)x^{2-1}$$

Multiply 2 times -3.

$$-6x^{2-1}$$

Subtract 1 from 2.

$$-6x^{1}$$

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

$$-6x$$

Evaluate

$$-3x^{2}$$

Solution Steps

Combine -4x^{2} and x^{2} to get -3x^{2}.

$$-3x^{2}$$