Solve 0.24-7.3y--58

$$0.24 - 7.3 y - - 58$$

Evaluate

$$-\frac{73y}{10}+58.24$$

Solution Steps

The opposite of -58 is 58.

$$0.24-7.3y+58$$

Add 0.24 and 58 to get 58.24.

$$58.24-7.3y$$

Differentiate w.r.t. y

$$-7.3$$

Steps Using Derivative Rule for Sum

The opposite of -58 is 58.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0.24-7.3y+58)$$

Add 0.24 and 58 to get 58.24.

$$\frac{\mathrm{d}}{\mathrm{d}y}(58.24-7.3y)$$

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}.

$$-7.3y^{1-1}$$

Subtract 1 from 1.

$$-7.3y^{0}$$

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

$$-7.3$$