Solve 8x*4x/3x=

$$\frac { 8 x \times 4 x } { 3 x } =$$

Evaluate

$$\frac{32x}{3}$$

Solution Steps

Multiply x and x to get x^{2}.

$$\frac{8x^{2}\times 4}{3x}$$

Cancel out x in both numerator and denominator.

$$\frac{4\times 8x}{3}$$

Multiply 4 and 8 to get 32.

$$\frac{32x}{3}$$

Differentiate w.r.t. x

$$\frac{32}{3} = 10\frac{2}{3} = 10.666666666666666$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32x}{3}x^{1-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32x}{3}x^{0})$$

For any number a except 0, a^{0}=1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32x}{3})$$

The derivative of a constant term is 0.

$$0$$