Solve 25-15b+9b^2

$$25 - 15 b + 9 b ^ { 2 }$$

Differentiate w.r.t. b

$$18b-15$$

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}.

$$-15b^{1-1}+2\times 9b^{2-1}$$

Subtract 1 from 1.

$$-15b^{0}+2\times 9b^{2-1}$$

Multiply 2 times 9.

$$-15b^{0}+18b^{2-1}$$

Subtract 1 from 2.

$$-15b^{0}+18b^{1}$$

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

$$-15b^{0}+18b$$

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

$$-15+18b$$

Evaluate

$$9b^{2}-15b+25$$