Solve 49b^2-4b^2

$$49 b ^ { 2 } - 4 b ^ { 2 }$$

Differentiate w.r.t. b

$$90b$$

Steps Using Definition of a Derivative

Combine 49b^{2} and -4b^{2} to get 45b^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(45b^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 45b^{2-1}$$

Multiply 2 times 45.

$$90b^{2-1}$$

Subtract 1 from 2.

$$90b^{1}$$

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

$$90b$$

Evaluate

$$45b^{2}$$

Solution Steps

Combine 49b^{2} and -4b^{2} to get 45b^{2}.

$$45b^{2}$$