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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