Solve 150.958z-78.7z-157.8923z+170.67z

$$150.958 z - 78.7 z - 157.8923 z + 170.67 z$$

Evaluate

$$\frac{850357z}{10000}$$

Solution Steps

Combine 150.958z and -78.7z to get 72.258z.

$$72.258z-157.8923z+170.67z$$

Combine 72.258z and -157.8923z to get -85.6343z.

$$-85.6343z+170.67z$$

Combine -85.6343z and 170.67z to get 85.0357z.

$$85.0357z$$

Differentiate w.r.t. z

$$85.0357$$

Steps Using Definition of a Derivative

Combine 150.958z and -78.7z to get 72.258z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(72.258z-157.8923z+170.67z)$$

Combine 72.258z and -157.8923z to get -85.6343z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-85.6343z+170.67z)$$

Combine -85.6343z and 170.67z to get 85.0357z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(85.0357z)$$

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

$$85.0357z^{1-1}$$

Subtract 1 from 1.

$$85.0357z^{0}$$

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

$$85.0357\times 1$$

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

$$85.0357$$