Solve 6d+4-3d^4

$$6 d + 4 - 3 d ^ { 4 }$$

Differentiate w.r.t. d

$$6-12d^{3}$$

Steps Using Derivative Rule for Sum

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}.

$$6d^{1-1}+4\left(-3\right)d^{4-1}$$

Subtract 1 from 1.

$$6d^{0}+4\left(-3\right)d^{4-1}$$

Multiply 4 times -3.

$$6d^{0}-12d^{4-1}$$

Subtract 1 from 4.

$$6d^{0}-12d^{3}$$

For any term t except 0, t^{0}=1.

$$6\times 1-12d^{3}$$

For any term t, t\times 1=t and 1t=t.

$$6-12d^{3}$$

Evaluate

$$4+6d-3d^{4}$$