Solve 2(b)^2-3(b)+4

$$2 ( b ) ^ { 2 } - 3 ( b ) + 4$$

Differentiate w.r.t. b

$$4b-3$$

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}.

$$2\times 2b^{2-1}-3b^{1-1}$$

Multiply 2 times 2.

$$4b^{2-1}-3b^{1-1}$$

Subtract 1 from 2.

$$4b^{1}-3b^{1-1}$$

Subtract 1 from 1.

$$4b^{1}-3b^{0}$$

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

$$4b-3b^{0}$$

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

$$4b-3$$

Evaluate

$$2b^{2}-3b+4$$