Solve 0,12x(0,36)/0,27*(0,08)^2

$$\frac { 0,12 x ( 0,36 ) } { 0,27 \times ( 0,08 ) ^ { 2 } }$$

Evaluate

$$25x$$

Solution Steps

Multiply 0,12 and 0,36 to get 0,0432.

$$\frac{0,0432x}{0,27\times 0,08^{2}}$$

Calculate 0,08 to the power of 2 and get 0,0064.

$$\frac{0,0432x}{0,27\times 0,0064}$$

Multiply 0,27 and 0,0064 to get 0,001728.

$$\frac{0,0432x}{0,001728}$$

Divide 0,0432x by 0,001728 to get 25x.

$$25x$$

Differentiate w.r.t. x

$$25$$

Steps Using Definition of a Derivative

Multiply 0,12 and 0,36 to get 0,0432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{0,0432x}{0,27\times 0,08^{2}})$$

Calculate 0,08 to the power of 2 and get 0,0064.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{0,0432x}{0,27\times 0,0064})$$

Multiply 0,27 and 0,0064 to get 0,001728.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{0,0432x}{0,001728})$$

Divide 0,0432x by 0,001728 to get 25x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x)$$

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

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$