Computing Derivatives Exercises

Answer

f(x) = 3x + 5 has a slope of 3, therefore f ' (x) = 3.

Answer

f(x) = 2x has a slope of 2, therefore f ' (x) = 2.

Answer

The line that passes through the points (4, 5) and (-1, -2) has a slope of

therefore 

.

Answer

f(x) = 4 is a constant function, so its derivative is 0. 

Alternately, we can think of the line in slope-intercept form as f(x) = 0x + 4, which we can see has a slope of 0.

Answer

f(x) = 7(x – 1) + 3 multiplies out to f(x) = 7x – 4, which has a slope of 7, therefore f ' (x) = 7.