Solve (-19/29)(11y)

$$( - \frac { 19 } { 29 } ) ( 11 y )$$

Evaluate

$$-\frac{209y}{29}$$

Solution Steps

Express -\frac{19}{29}\times 11 as a single fraction.

$$\frac{-19\times 11}{29}y$$

Multiply -19 and 11 to get -209.

$$\frac{-209}{29}y$$

Fraction \frac{-209}{29} can be rewritten as -\frac{209}{29} by extracting the negative sign.

$$-\frac{209}{29}y$$

Differentiate w.r.t. y

$$-\frac{209}{29} = -7\frac{6}{29} = -7.206896551724138$$

Steps Using Definition of a Derivative

Express -\frac{19}{29}\times 11 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-19\times 11}{29}y)$$

Multiply -19 and 11 to get -209.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-209}{29}y)$$

Fraction \frac{-209}{29} can be rewritten as -\frac{209}{29} by extracting the negative sign.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-\frac{209}{29}y)$$

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

$$-\frac{209}{29}y^{1-1}$$

Subtract 1 from 1.

$$-\frac{209}{29}y^{0}$$

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

$$-\frac{209}{29}$$