Solve (b^5)^5quad2)-(x^2)^m

$$( b ^ { 5 } ) ^ { 5 } \quad 2 ) - ( x ^ { 2 } ) ^ { m }$$

Differentiate w.r.t. b

$$50b^{24}$$

Steps Using Definition of a Derivative

To raise a power to another power, multiply the exponents. Multiply 5 and 5 to get 25.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{25}\times 2)$$

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

$$25\times 2b^{25-1}$$

Multiply 25 times 2.

$$50b^{25-1}$$

Subtract 1 from 25.

$$50b^{24}$$

Evaluate

$$2b^{25}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 5 and 5 to get 25.

$$b^{25}\times 2$$