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)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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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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