Solve 4x8/5*5=

$$4x \frac{ 8 }{ 5 } \times 5=$$

Evaluate

$$32x$$

Solution Steps

Express 4\times \frac{8}{5} as a single fraction.

$$\frac{4\times 8}{5}x\times 5$$

Multiply 4 and 8 to get 32.

$$\frac{32}{5}x\times 5$$

Cancel out 5 and 5.

$$32x$$

Differentiate w.r.t. x

$$32$$

Steps Using Definition of a Derivative

Express 4\times \frac{8}{5} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 8}{5}x\times 5)$$

Multiply 4 and 8 to get 32.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32}{5}x\times 5)$$

Cancel out 5 and 5.

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

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

$$32x^{1-1}$$

Subtract 1 from 1.

$$32x^{0}$$

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

$$32\times 1$$

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

$$32$$