Use the table to calculate the values of the derivatives listed in Exercises 9-16. 9. If...
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Use the table to calculate the values of the derivatives listed in Exercises 9-16. 9. If f(x) = g(h(x)), find f'(3). 10. If f(x) = h(g(x)), find f'(3). 11. If f(x) = (g(x))³, find f'(-2). 12. If f(x) = g(x³ - 6), find f'(2). 13. If f(x)=h(g(j(x))), find f'(1). 14. If f(x) = (2x), find f'(-1). 15. If f(x) = h(g(x)j(x)), find f'(0). 16. If f(x) = h(h(h(x))), find f'(1) -3 -2 -1 0 1 2 3 g(x) 0 1 3 2 0 -2 -3 h(x) 3 2 20 3 -1 -2 0 1 3 1 0 -2 -3 1 g'(x) 1 2 -1 -2 -2 -1 0 h'(x) 0 -3 -2 3 -2 0 1 j'(x) 20 -2 -2 -1 2 2 Use the table to calculate the values of the derivatives listed in Exercises 9-16. 9. If f(x) = g(h(x)), find f'(3). 10. If f(x) = h(g(x)), find f'(3). 11. If f(x) = (g(x))³, find f'(-2). 12. If f(x) = g(x³ - 6), find f'(2). 13. If f(x)=h(g(j(x))), find f'(1). 14. If f(x) = (2x), find f'(-1). 15. If f(x) = h(g(x)j(x)), find f'(0). 16. If f(x) = h(h(h(x))), find f'(1) -3 -2 -1 0 1 2 3 g(x) 0 1 3 2 0 -2 -3 h(x) 3 2 20 3 -1 -2 0 1 3 1 0 -2 -3 1 g'(x) 1 2 -1 -2 -2 -1 0 h'(x) 0 -3 -2 3 -2 0 1 j'(x) 20 -2 -2 -1 2 2
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9By the chain rule we have fx ghxhx Therefore f3 gh3... View the full answer
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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