Solve 25y^2+3y^2

$$25 y ^ { 2 } + 3 y ^ { 2 }$$

Differentiate w.r.t. y

$$56y$$

Steps Using Definition of a Derivative

Combine 25y^{2} and 3y^{2} to get 28y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(28y^{2})$$

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

$$2\times 28y^{2-1}$$

Multiply 2 times 28.

$$56y^{2-1}$$

Subtract 1 from 2.

$$56y^{1}$$

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

$$56y$$

Evaluate

$$28y^{2}$$

Solution Steps

Combine 25y^{2} and 3y^{2} to get 28y^{2}.

$$28y^{2}$$