Solve 88x*85/2

$$88x \times \frac{ 85 }{ 2 }$$

Evaluate

$$3740x$$

Solution Steps

Express 88\times \frac{85}{2} as a single fraction.

$$\frac{88\times 85}{2}x$$

Multiply 88 and 85 to get 7480.

$$\frac{7480}{2}x$$

Divide 7480 by 2 to get 3740.

$$3740x$$

Differentiate w.r.t. x

$$3740$$

Steps Using Definition of a Derivative

Express 88\times \frac{85}{2} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{88\times 85}{2}x)$$

Multiply 88 and 85 to get 7480.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7480}{2}x)$$

Divide 7480 by 2 to get 3740.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3740x)$$

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

$$3740x^{1-1}$$

Subtract 1 from 1.

$$3740x^{0}$$

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

$$3740\times 1$$

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

$$3740$$