For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2) h(x) = -6x ² - 4 + 3 h"(x) = (+6x²-4+3 2√x h(x) = -2x 3-4x + 3√3 dx 2√x- In "(x) = £ (4x²)_ _d (4) + 1/ ² dx dx h"(x) = -60 • 2x+0=3x2 h'(x) = a (-2x ²³-4x + 3√√x) d dx |n₁(x) = d (-2x ³) + d (-2x ³) + d (-4x) + d (-4x) + d dx dx h'(x) = (2) (3x²+4+3 (2) |h'(x) = -6x² - 4 + -_-³² 3 2√√x (3√x) 1/2 3|hx) =12x-3 hly--12x. LIX 4x5* n(x) = - (-3) - (4x√7) - d (4x²√x) • (-3) + - 4• ½ x ¹². -12 dx 4 4X7 4x 认 -6.1X (2 h"(x)=-6-3x • 2 (₁7) (2√x)2 h'(x=-12x-3) 4x√x
For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2) h(x) = -6x ² - 4 + 3 h"(x) = (+6x²-4+3 2√x h(x) = -2x 3-4x + 3√3 dx 2√x- In "(x) = £ (4x²)_ _d (4) + 1/ ² dx dx h"(x) = -60 • 2x+0=3x2 h'(x) = a (-2x ²³-4x + 3√√x) d dx |n₁(x) = d (-2x ³) + d (-2x ³) + d (-4x) + d (-4x) + d dx dx h'(x) = (2) (3x²+4+3 (2) |h'(x) = -6x² - 4 + -_-³² 3 2√√x (3√x) 1/2 3|hx) =12x-3 hly--12x. LIX 4x5* n(x) = - (-3) - (4x√7) - d (4x²√x) • (-3) + - 4• ½ x ¹². -12 dx 4 4X7 4x 认 -6.1X (2 h"(x)=-6-3x • 2 (₁7) (2√x)2 h'(x=-12x-3) 4x√x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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