Solve 6x-9x+5x

$$6 x - 9 x + 5 x$$

Evaluate

$$2x$$

Solution Steps

Combine 6x and -9x to get -3x.

$$-3x+5x$$

Combine -3x and 5x to get 2x.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Combine 6x and -9x to get -3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x+5x)$$

Combine -3x and 5x to get 2x.

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

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

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$