Solve 10b^4-23b^2+15

$$10 b ^ { 4 } - 23 b ^ { 2 } + 15$$

Differentiate w.r.t. b

$$40b^{3}-46b$$

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}.

$$4\times 10b^{4-1}+2\left(-23\right)b^{2-1}$$

Multiply 4 times 10.

$$40b^{4-1}+2\left(-23\right)b^{2-1}$$

Subtract 1 from 4.

$$40b^{3}+2\left(-23\right)b^{2-1}$$

Multiply 2 times -23.

$$40b^{3}-46b^{2-1}$$

Subtract 1 from 2.

$$40b^{3}-46b^{1}$$

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

$$40b^{3}-46b$$

Evaluate

$$10b^{4}-23b^{2}+15$$