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Below are eight mctions. Find the rst derivative of each. Space is provided. All of the derivatives can be found by using combinations of the...

Wanting to double check my answers, please see image below.

differentiation exercise.png

differentiation exercise.png

Below are eight fimctions. Find the first derivative of each. Space is provided. All of the
derivatives can be found by using combinations of the constant rule, power function rule and
sum-difference rule. Do not use the product rule. It is not needed. The degree of dificulty
(more or less) increases fi‘om (a) to (h). Be sure to show intermediate work. Check the scoring
rubric to see how the points will be awarded. For example, the first derivative of the function: Y: (2): + 3)2 is g = 2(2X+ 3)(2)
Although this can be simplified to: g = 8X +1.2
please do not simplify your answer. [This also avoids more algebraic mistakes on your part.
Hint: To make either (g) or (h) easier, multiply the two parts together first, then find the
derivative of the resulting product. This avoids the need to use the product rule. Good
Luck! a) Y=GQ3—SQZ+GQ—5 51) T=U5”+2U5”—3U"”
m= new b) Y=10+4X4—3X2 g) I1V=3V‘—45+2V3
W= wig: c) Q=P3’3—P‘3’3+P i) U=5V3+3V‘3—5V3+15
W: wffl= g) z =3W2[2+3W2)
W: h) z = 4X1”(2X— 3X“)
m=

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