(1) Integrate the following functions: (a) I = [ (4x³ − 6x² + 2x²³¹′)dx (²-3)dx 2 (b) I = .3 (c) I = [ (10 cos(5x) - 2 sin(4x)) da √ (4e²z (d) I = = (4e²x + 6e-2x) dx (2) Find the original function f(x) given f'(x) = 2 - and f(−1) = 7. x (3) Find the original function f(x) given f'(x) = 10 cos(5x)-2 sin(4x) and f(T) = 1.

(1) Integrate the following functions: (a) I = [ (4x³ − 6x² + 2x²³¹′)dx (²-3)dx 2 (b) I = .3 (c) I = [ (10 cos(5x) - 2 sin(4x)) da √ (4e²z (d) I = = (4e²x + 6e-2x) dx (2) Find the original function f(x) given f'(x) = 2 - and f(−1) = 7. x (3) Find the original function f(x) given f'(x) = 10 cos(5x)-2 sin(4x) and f(T) = 1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 3E: Find dydxby implicit differentiation for the following. 8x210xy+3y2=26

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