Solve y(1)35^2

$$y ( 1 ) 35 ^ { 2 }$$

Evaluate

$$1225y$$

Solution Steps

Calculate 35 to the power of 2 and get 1225.

$$y\times 1\times 1225$$

Multiply 1 and 1225 to get 1225.

$$y\times 1225$$

Differentiate w.r.t. y

$$1225$$

Steps Using Definition of a Derivative

Calculate 35 to the power of 2 and get 1225.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 1\times 1225)$$

Multiply 1 and 1225 to get 1225.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 1225)$$

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

$$1225y^{1-1}$$

Subtract 1 from 1.

$$1225y^{0}$$

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

$$1225\times 1$$

For any term t, t\times 1=t and 1t=t.

$$1225$$