Solve x+2,3x-2,4x-2

$$x + 2,3 x - 2,4 x - 2$$

Evaluate

$$\frac{9x}{10}-2$$

Solution Steps

Combine x and 2,3x to get 3,3x.

$$3,3x-2,4x-2$$

Combine 3,3x and -2,4x to get 0,9x.

$$0,9x-2$$

Differentiate w.r.t. x

$$0,9$$

Steps Using Derivative Rule for Sum

Combine x and 2,3x to get 3,3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3,3x-2,4x-2)$$

Combine 3,3x and -2,4x to get 0,9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0,9x-2)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. 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.

$$0,9$$