Solve [5(3)^2-2y]

$$[ 5 ( 3 ) ^ { 2 } - 2 y ]$$

Evaluate

$$45-2y$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$5\times 9-2y$$

Multiply 5 and 9 to get 45.

$$45-2y$$

Differentiate w.r.t. y

$$-2$$

Steps Using Derivative Rule for Sum

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}y}(5\times 9-2y)$$

Multiply 5 and 9 to get 45.

$$\frac{\mathrm{d}}{\mathrm{d}y}(45-2y)$$

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}.

$$-2y^{1-1}$$

Subtract 1 from 1.

$$-2y^{0}$$

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

$$-2$$