Solve 4/3p+3/7p-2/5p=

$$\frac { 4 } { 3 } p + \frac { 3 } { 7 } p - \frac { 2 } { 5 } p =$$

Evaluate

$$\frac{143p}{105}$$

Solution Steps

Combine \frac{4}{3}p and \frac{3}{7}p to get \frac{37}{21}p.

$$\frac{37}{21}p-\frac{2}{5}p$$

Combine \frac{37}{21}p and -\frac{2}{5}p to get \frac{143}{105}p.

$$\frac{143}{105}p$$

Differentiate w.r.t. p

$$\frac{143}{105} = 1\frac{38}{105} = 1.361904761904762$$

Steps Using Definition of a Derivative

Combine \frac{4}{3}p and \frac{3}{7}p to get \frac{37}{21}p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{37}{21}p-\frac{2}{5}p)$$

Combine \frac{37}{21}p and -\frac{2}{5}p to get \frac{143}{105}p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{143}{105}p)$$

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

$$\frac{143}{105}p^{1-1}$$

Subtract 1 from 1.

$$\frac{143}{105}p^{0}$$

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

$$\frac{143}{105}\times 1$$

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

$$\frac{143}{105}$$