Solve 6x^2-65x^2

$$6 { x }^{ 2 } -65 { x }^{ 2 }$$

Differentiate w.r.t. x

$$-118x$$

Steps Using Definition of a Derivative

Combine 6x^{2} and -65x^{2} to get -59x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-59x^{2})$$

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

$$2\left(-59\right)x^{2-1}$$

Multiply 2 times -59.

$$-118x^{2-1}$$

Subtract 1 from 2.

$$-118x^{1}$$

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

$$-118x$$

Evaluate

$$-59x^{2}$$

Solution Steps

Combine 6x^{2} and -65x^{2} to get -59x^{2}.

$$-59x^{2}$$