Solve +a^4-4a^4

$$+ a ^ { 4 } - 4 a ^ { 4 }$$

Differentiate w.r.t. a

$$-12a^{3}$$

Steps Using Definition of a Derivative

Combine a^{4} and -4a^{4} to get -3a^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a^{4})$$

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

$$4\left(-3\right)a^{4-1}$$

Multiply 4 times -3.

$$-12a^{4-1}$$

Subtract 1 from 4.

$$-12a^{3}$$

Evaluate

$$-3a^{4}$$

Solution Steps

Combine a^{4} and -4a^{4} to get -3a^{4}.

$$-3a^{4}$$