Find the derivative (dy/dx) of the following functions: h) у%3D Зx7 —7х3 + 21x2 - i) y = (x² + 3)(5x³ – 4x) j) у%3D 1/(x* — 1)(х? + х + 2)

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 26E: Find derivatives of the functions defined as follows. y=4-5x+2
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Find the derivative (dy/dx) of the following functions:
h) у %3D Зx7 — 7х3 + 21x2
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i) y = (x² + 3)(5x³ – 4x)
) у%3D 1/(х? — 1)(x? + х + 2)
k) y = sin x.tan x
%3D
1) y = (sin x + cos x) sec x
m) y = cos x/tan x – cot x/ sec x
n) y = 1 – cos 3x sin 2x + sin 8x tan 4x
Transcribed Image Text:Find the derivative (dy/dx) of the following functions: h) у %3D Зx7 — 7х3 + 21x2 - i) y = (x² + 3)(5x³ – 4x) ) у%3D 1/(х? — 1)(x? + х + 2) k) y = sin x.tan x %3D 1) y = (sin x + cos x) sec x m) y = cos x/tan x – cot x/ sec x n) y = 1 – cos 3x sin 2x + sin 8x tan 4x
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,