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Classwork 5 answers
1.
a. 21x2
b. -8x-3
c. -15/x4
d. 3x2/5
e. 3x2 – 4x + 4
f. 2.3x1.3 + 5 – 1.5x0.5
g. 1/2x-1/2
h. 32x + 40
i. -3/2x-3/2
j. 0
k. x3
l. -3/4x-4
m.
0
n. -5/3x-8/3
2. Differentiate the function first
3. The power rule only applies to real numbers, not variables.
4. 4x3 + 3x2 + 2x + 1
4*3x2 + 3*2x + 2*1
4*3*2x + 3*2*1
4*3*2*1
f(0) = 1, f’(0) = 1, f (0) = 2*1, f (0) = 3*2*1, f 4(0) = 4*3*2*1
5. -5*4x3 + 2*3x2 – 6*2x – 4
-5*4*3x2 + 2*3*2x – 6*2*1
-5*4*3*2*x + 2*3*2*1
-5*4*3*2*1
f(0) = 3, f’(0) = -4, f (0) = -6*2*1, f (0) = 2*3*2*1, f 4(0) = -5*4*3*2*1
6. 0
7. n! – multiply integers less than or equal to n together (to 1)
8.
9.
10. The derivative of 2x at x = 3
11. The derivative of 2x
12. The derivative of sin x at x = 
13. The derivative of sin x
14. 1
15. -4
16. 8x-3
17. 6x^2+5
Nirode
6/26/2017
18. y = -11(x – 3) + 4 9. (Find the tangent lines where 0  x  3 .) y = 3(x – 0.7525) +
1.4507 &
y = 3(x – 2.0909) + 7.0223
20. y = 4(x – 1/64) + 1/8
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