Solve 9b^5+3b^2-4b^5-3b^2

$$9 b ^ { 5 } + 3 b ^ { 2 } - 4 b ^ { 5 } - 3 b ^ { 2 }$$

Evaluate

$$5b^{5}$$

Solution Steps

Combine 9b^{5} and -4b^{5} to get 5b^{5}.

$$5b^{5}+3b^{2}-3b^{2}$$

Combine 3b^{2} and -3b^{2} to get 0.

$$5b^{5}$$

Differentiate w.r.t. b

$$25b^{4}$$

Steps Using Definition of a Derivative

Combine 9b^{5} and -4b^{5} to get 5b^{5}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(5b^{5}+3b^{2}-3b^{2})$$

Combine 3b^{2} and -3b^{2} to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}b}(5b^{5})$$

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

$$5\times 5b^{5-1}$$

Multiply 5 times 5.

$$25b^{5-1}$$

Subtract 1 from 5.

$$25b^{4}$$