Solve x^2*4x/4x

$$\frac { x ^ { 2 } \times 4 x } { 4 x }$$

Evaluate

$$x^{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{x^{3}\times 4}{4x}$$

Cancel out 4x in both numerator and denominator.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4x}{4}x^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(xx^{1})$$

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}.

$$xx^{1-1}$$

Do the arithmetic.

$$xx^{0}$$

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

$$x\times 1$$

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

$$x$$