Solve x-(x*0.1)

$$x-(x \times 0.1)$$

Differentiate w.r.t. x

$$0.9$$

Steps Using Definition of a Derivative

Combine x and -x\times 0.1 to get 0.9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.9x)$$

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

$$0.9x^{1-1}$$

Subtract 1 from 1.

$$0.9x^{0}$$

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

$$0.9\times 1$$

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

$$0.9$$

Evaluate

$$\frac{9x}{10}$$

Solution Steps

Combine x and -x\times 0.1 to get 0.9x.

$$0.9x$$