Solve 3*(-1/4*y)=

$$3 \times ( - \frac { 1 } { 4 } \times y ) =$$

Evaluate

$$-\frac{3y}{4}$$

Solution Steps

Express 3\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{3\left(-1\right)}{4}y$$

Multiply 3 and -1 to get -3.

$$\frac{-3}{4}y$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{3}{4}y$$

Differentiate w.r.t. y

$$-\frac{3}{4} = -0.75$$

Steps Using Definition of a Derivative

Express 3\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3\left(-1\right)}{4}y)$$

Multiply 3 and -1 to get -3.

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

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

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

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

$$-\frac{3}{4}y^{1-1}$$

Subtract 1 from 1.

$$-\frac{3}{4}y^{0}$$

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

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