Solve c^4-8c^4+12

$$c ^ { 4 } - 8 c ^ { 4 } + 12$$

Differentiate w.r.t. c

$$-28c^{3}$$

Steps Using Derivative Rule for Sum

Combine c^{4} and -8c^{4} to get -7c^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(-7c^{4}+12)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$4\left(-7\right)c^{4-1}$$

Multiply 4 times -7.

$$-28c^{4-1}$$

Subtract 1 from 4.

$$-28c^{3}$$

Evaluate

$$12-7c^{4}$$

Solution Steps

Combine c^{4} and -8c^{4} to get -7c^{4}.

$$-7c^{4}+12$$