Solve (-1)^3y^5-232-2^2

$$( - 1 ) ^ { 3 } y ^ { 5 } - 232 - 2 ^ { 2 }$$

Evaluate

$$-y^{5}-236$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$-y^{5}-232-2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$-y^{5}-232-4$$

Subtract 4 from -232 to get -236.

$$-y^{5}-236$$

Differentiate w.r.t. y

$$-5y^{4}$$

Steps Using Derivative Rule for Sum

Calculate -1 to the power of 3 and get -1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-232-2^{2})$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-232-4)$$

Subtract 4 from -232 to get -236.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-236)$$

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}.

$$5\left(-1\right)y^{5-1}$$

Multiply 5 times -1.

$$-5y^{5-1}$$

Subtract 1 from 5.

$$-5y^{4}$$