Solve y^4+y^4+y^4

$$y ^ { 4 } + y ^ { 4 } + y ^ { 4 }$$

Evaluate

$$3y^{4}$$

Solution Steps

Combine y^{4} and y^{4} to get 2y^{4}.

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

Combine 2y^{4} and y^{4} to get 3y^{4}.

$$3y^{4}$$

Differentiate w.r.t. y

$$12y^{3}$$

Steps Using Definition of a Derivative

Combine y^{4} and y^{4} to get 2y^{4}.

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

Combine 2y^{4} and y^{4} to get 3y^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{4})$$

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

$$4\times 3y^{4-1}$$

Multiply 4 times 3.

$$12y^{4-1}$$

Subtract 1 from 4.

$$12y^{3}$$