Solve 28*53quadtext{(b)}42*7

$$28 \times 53 \quad \text { (b) } 42 \times 7$$

Evaluate

$$436296b$$

Solution Steps

Multiply 28 and 53 to get 1484.

$$1484b\times 42\times 7$$

Multiply 1484 and 42 to get 62328.

$$62328b\times 7$$

Multiply 62328 and 7 to get 436296.

$$436296b$$

Differentiate w.r.t. b

$$436296$$

Steps Using Definition of a Derivative

Multiply 28 and 53 to get 1484.

$$\frac{\mathrm{d}}{\mathrm{d}b}(1484b\times 42\times 7)$$

Multiply 1484 and 42 to get 62328.

$$\frac{\mathrm{d}}{\mathrm{d}b}(62328b\times 7)$$

Multiply 62328 and 7 to get 436296.

$$\frac{\mathrm{d}}{\mathrm{d}b}(436296b)$$

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

$$436296b^{1-1}$$

Subtract 1 from 1.

$$436296b^{0}$$

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

$$436296\times 1$$

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

$$436296$$