Solve 54s^4-216s^4

$$54 s ^ { 4 } - 216 s ^ { 4 }$$

Differentiate w.r.t. s

$$-648s^{3}$$

Steps Using Definition of a Derivative

Combine 54s^{4} and -216s^{4} to get -162s^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}s}(-162s^{4})$$

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

$$4\left(-162\right)s^{4-1}$$

Multiply 4 times -162.

$$-648s^{4-1}$$

Subtract 1 from 4.

$$-648s^{3}$$

Evaluate

$$-162s^{4}$$

Solution Steps

Combine 54s^{4} and -216s^{4} to get -162s^{4}.

$$-162s^{4}$$