Solve t^4+5t-2

$$t ^ { 4 } + 5 t - 2$$

Differentiate w.r.t. t

$$4t^{3}+5$$

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}.

$$4t^{4-1}+5t^{1-1}$$

Subtract 1 from 4.

$$4t^{3}+5t^{1-1}$$

Subtract 1 from 1.

$$4t^{3}+5t^{0}$$

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

$$4t^{3}+5\times 1$$

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

$$4t^{3}+5$$

Evaluate

$$t^{4}+5t-2$$