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.

$$-0,75$$