Solve (x*85/100)+x=

$$( \frac{ x \times 85 }{ 100 } )+x=$$

Evaluate

$$\frac{37x}{20}$$

Solution Steps

Divide x\times 85 by 100 to get x\times \frac{17}{20}.

$$x\times \frac{17}{20}+x$$

Combine x\times \frac{17}{20} and x to get \frac{37}{20}x.

$$\frac{37}{20}x$$

Differentiate w.r.t. x

$$\frac{37}{20} = 1\frac{17}{20} = 1.85$$

Steps Using Definition of a Derivative

Divide x\times 85 by 100 to get x\times \frac{17}{20}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{17}{20}+x)$$

Combine x\times \frac{17}{20} and x to get \frac{37}{20}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{37}{20}x)$$

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

$$\frac{37}{20}x^{1-1}$$

Subtract 1 from 1.

$$\frac{37}{20}x^{0}$$

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

$$\frac{37}{20}\times 1$$

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

$$\frac{37}{20}$$