Using the result (8 9) and the rules of Section 8 3 1, find f(x) where f (x) is Data from Rules (a) 8x4 4x (d) (x 1)x (b) (2x 5)(x 3x 1) (c) 4x7(x 3x) x x 2x 1 x 1 x 1 (e) (f)...

a Using Rule 1 and result 89 with r 4 we have d dx 8x 32x Similarly d dx Using Rule 2 we hav ...

Using the result (8.9) and the rules of Section 8.3.1, find f(x) where f (x) is Data

Question:

Using the result (8.9) and the rules of Section 8.3.1, find f´(x) where f (x) is

(a) 8x4 - 4x (d) (x + 1)x (b) (2x + 5)(x + 3x + 1) (c) 4x(x 3x) - (e) x x + 1 (f) x + 2x + 1 x + 1

Data from Rules

Rule 1 (constant multiplication rule) If y = f(x) and k is a constant then d - (ky) = kdy = kf'(x) d.x dx

Rule 4 (quotient rule) If u = f(x) and v = g(x) then d 40- = dy dx = Rule 5 (composite-function or chain

Rule 7 (parametric differentiation rule) If y = f(x) where x = g(t) and y = h(t) and t is a parameter, then

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 15, 2024 01:01 AM

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Using the result (8.9) and the rules of Section 8.3.1, find f(x) where f (x) is Data

Question:

(a) 8x4 - 4x (d) (x + 1)x (b) (2x + 5)(x + 3x + 1) (c) 4x7(x 3x) x x + 2x + 1 x + 1 x + 1 (e) (f)

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a Using Rule 1 and result 89 with r 4 we have d dx 8x 32x Similarly d dx Using Rule 2 we hav...View the full answer

Modern Engineering Mathematics

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