Solve x-x(1.3)(0.75))divx*100%=8

$$x-x(1.3)(0.75)) \div x \times 100 \% =8$$

Evaluate

$$\frac{x}{40}$$

Solution Steps

Multiply 1.3 and 0.75 to get 0.975.

$$x-x\times 0.975$$

Combine x and -x\times 0.975 to get 0.025x.

$$0.025x$$

Differentiate w.r.t. x

$$0.025$$

Steps Using Definition of a Derivative

Multiply 1.3 and 0.75 to get 0.975.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-x\times 0.975)$$

Combine x and -x\times 0.975 to get 0.025x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.025x)$$

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

$$0.025x^{1-1}$$

Subtract 1 from 1.

$$0.025x^{0}$$

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

$$0.025\times 1$$

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

$$0.025$$