Solve 0.25k+1.5-k-3.5

$$0.25 k + 1.5 - k - 3.5$$

Evaluate

$$-\frac{3k}{4}-2$$

Solution Steps

Combine 0.25k and -k to get -0.75k.

$$-0.75k+1.5-3.5$$

Subtract 3.5 from 1.5 to get -2.

$$-0.75k-2$$

Differentiate w.r.t. k

$$-0.75$$

Steps Using Derivative Rule for Sum

Combine 0.25k and -k to get -0.75k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-0.75k+1.5-3.5)$$

Subtract 3.5 from 1.5 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-0.75k-2)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-0.75k^{1-1}$$

Subtract 1 from 1.

$$-0.75k^{0}$$

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

$$-0.75$$