Solve 4/frac{4{x-3}cm}cm

$$\frac { 4 } { \frac { 4 } { x - 3 } cm } cm$$

Evaluate

$$x-3$$

Solution Steps

Express \frac{4}{x-3}c as a single fraction.

$$\frac{4}{\frac{4c}{x-3}m}cm$$

Express \frac{4c}{x-3}m as a single fraction.

$$\frac{4}{\frac{4cm}{x-3}}cm$$

Divide 4 by \frac{4cm}{x-3} by multiplying 4 by the reciprocal of \frac{4cm}{x-3}.

$$\frac{4\left(x-3\right)}{4cm}cm$$

Cancel out 4 in both numerator and denominator.

$$\frac{x-3}{cm}cm$$

Express \frac{x-3}{cm}c as a single fraction.

$$\frac{\left(x-3\right)c}{cm}m$$

Cancel out c in both numerator and denominator.

$$\frac{x-3}{m}m$$

Cancel out m and m.

$$x-3$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Express \frac{4}{x-3}c as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{\frac{4c}{x-3}m}cm)$$

Express \frac{4c}{x-3}m as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{\frac{4cm}{x-3}}cm)$$

Divide 4 by \frac{4cm}{x-3} by multiplying 4 by the reciprocal of \frac{4cm}{x-3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\left(x-3\right)}{4cm}cm)$$

Cancel out 4 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x-3}{cm}cm)$$

Express \frac{x-3}{cm}c as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x-3\right)c}{cm}m)$$

Cancel out c in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x-3}{m}m)$$

Cancel out m and m.

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

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$