Solve 2^2+y^2+26^2

$$2 ^ { 2 } + y ^ { 2 } + 26 ^ { 2 }$$

Evaluate

$$y^{2}+680$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4+y^{2}+26^{2}$$

Calculate 26 to the power of 2 and get 676.

$$4+y^{2}+676$$

Add 4 and 676 to get 680.

$$680+y^{2}$$

Differentiate w.r.t. y

$$2y$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4+y^{2}+26^{2})$$

Calculate 26 to the power of 2 and get 676.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4+y^{2}+676)$$

Add 4 and 676 to get 680.

$$\frac{\mathrm{d}}{\mathrm{d}y}(680+y^{2})$$

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}.

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

Subtract 1 from 2.

$$2y^{1}$$

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

$$2y$$