Solve -q^2--5q^2

$$- q ^ { 2 } - - 5 q ^ { 2 }$$

Evaluate

$$4q^{2}$$

Solution Steps

The opposite of -5q^{2} is 5q^{2}.

$$-q^{2}+5q^{2}$$

Combine -q^{2} and 5q^{2} to get 4q^{2}.

$$4q^{2}$$

Differentiate w.r.t. q

$$8q$$

Steps Using Definition of a Derivative

The opposite of -5q^{2} is 5q^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}q}(-q^{2}+5q^{2})$$

Combine -q^{2} and 5q^{2} to get 4q^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}q}(4q^{2})$$

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

$$2\times 4q^{2-1}$$

Multiply 2 times 4.

$$8q^{2-1}$$

Subtract 1 from 2.

$$8q^{1}$$

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

$$8q$$