Solve 75/5(7x/5)

$$\frac { 75 } { 5 } ( \frac { 7 x } { 5 } )$$

Evaluate

$$21x$$

Solution Steps

Divide 75 by 5 to get 15.

$$15\times \frac{7x}{5}$$

Cancel out 5, the greatest common factor in 15 and 5.

$$3\times 7x$$

Multiply 3 and 7 to get 21.

$$21x$$

Differentiate w.r.t. x

$$21$$

Steps Using Definition of a Derivative

Divide 75 by 5 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15\times \frac{7x}{5})$$

Cancel out 5, the greatest common factor in 15 and 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3\times 7x)$$

Multiply 3 and 7 to get 21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(21x)$$

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

$$21x^{1-1}$$

Subtract 1 from 1.

$$21x^{0}$$

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

$$21\times 1$$

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

$$21$$