Solve x^-4+3+6-2

$${ x }^{ -4+3+6-2 }$$

Evaluate

$$x^{3}$$

Solution Steps

Add -4 and 3 to get -1.

$$x^{-1+6-2}$$

Add -1 and 6 to get 5.

$$x^{5-2}$$

Subtract 2 from 5 to get 3.

$$x^{3}$$

Differentiate w.r.t. x

$$3x^{2}$$

Steps Using Definition of a Derivative

Add -4 and 3 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{-1+6-2})$$

Add -1 and 6 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{5-2})$$

Subtract 2 from 5 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3})$$

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

$$3x^{3-1}$$

Subtract 1 from 3.

$$3x^{2}$$