Solve A(8.3)=3530B(2.11)

$$A ( 8.3 ) = 3530 B ( 2.11 )$$

Differentiate w.r.t. B

$$7448.3$$

Steps Using Definition of a Derivative

Multiply 3530 and 2.11 to get 7448.3.

$$\frac{\mathrm{d}}{\mathrm{d}B}(7448.3B)$$

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

$$7448.3B^{1-1}$$

Subtract 1 from 1.

$$7448.3B^{0}$$

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

$$7448.3\times 1$$

For any term t, t\times 1=t and 1t=t.

$$7448.3$$

Evaluate

$$\frac{74483B}{10}$$

Solution Steps

Multiply 3530 and 2.11 to get 7448.3.

$$7448.3B$$