Solve 0.5y+0.35y-0.21y+0.35y

$$0.5y+0.35y-0.21y+0.35y$$

Evaluate

$$\frac{99y}{100}$$

Solution Steps

Combine 0.5y and 0.35y to get 0.85y.

$$0.85y-0.21y+0.35y$$

Combine 0.85y and -0.21y to get 0.64y.

$$0.64y+0.35y$$

Combine 0.64y and 0.35y to get 0.99y.

$$0.99y$$

Differentiate w.r.t. y

$$0.99$$

Steps Using Definition of a Derivative

Combine 0.5y and 0.35y to get 0.85y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0.85y-0.21y+0.35y)$$

Combine 0.85y and -0.21y to get 0.64y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0.64y+0.35y)$$

Combine 0.64y and 0.35y to get 0.99y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0.99y)$$

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

$$0.99y^{1-1}$$

Subtract 1 from 1.

$$0.99y^{0}$$

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

$$0.99\times 1$$

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

$$0.99$$