Solve 7156*28:32a

$$7156 \times 28 : 32 a$$

Evaluate

$$\frac{12523a}{2}$$

Solution Steps

Multiply 7156 and 28 to get 200368.

$$\frac{200368}{32}a$$

Reduce the fraction \frac{200368}{32} to lowest terms by extracting and canceling out 16.

$$\frac{12523}{2}a$$

Differentiate w.r.t. a

$$\frac{12523}{2} = 6261\frac{1}{2} = 6261.5$$

Steps Using Definition of a Derivative

Multiply 7156 and 28 to get 200368.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{200368}{32}a)$$

Reduce the fraction \frac{200368}{32} to lowest terms by extracting and canceling out 16.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{12523}{2}a)$$

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

$$\frac{12523}{2}a^{1-1}$$

Subtract 1 from 1.

$$\frac{12523}{2}a^{0}$$

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

$$\frac{12523}{2}\times 1$$

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

$$\frac{12523}{2}$$