For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

If h(x) = 2. 2x and g(x) = x², find h(g(x)). Do not simplify. O h(g(x)) = 2æx? Oh(g(x)) = h(2æ²) h(2a²) Oh(g(a)) = 2x(a) O h(g(x)) = 2² Oh(g(x)) = (2x)? Question Help: DVideo Calculator Submit Question

Find f. = 6 + 6x + 36x², f(0) = 3, f(1) f(1) = 14 f"(x) =

Find شان y=√x

Let f(x) 5x² to f(6 + h). = · 6x + 6. If ƒ(6) f(6+h)-f(6) = = = 150 and h = 5, determine the amount of change from ƒ(6)

Given f(x) = 4x2 – 4x + 1 and g(x) = 2x – 1, which of the following are expression(s) for f · g? Select all that apply. А. 6х3 + 6x2 - 6х + 1 В. (2х - 1)3 C. 8x³ – 12x2 + 6x – 1 D. 4x2 – 2x O O O O

Let y=(x2-1)3 Find yn

Define the functions /(x) =r + 2x - 3 and 8(x) =/x+6 (fog)(1) а. Find the value of (go)(1) Find the value of b.

steps. For the function h(x) = −2x³ - 4x + 3√x, calculate h'(x), h'' (x), and h''' (x) . Show all 2 h(x) = -6x² - 4+ 3 ī h"(x) = 4 (+6x²-4 + 3 = 2√x h(x) = -2x 3-4x +3√3 dx 2√x h "(x) = 2 ( 6x²)_ _d (4) + d( 2 dx dx h"(x) = -60 • 2x+0-3x21 2. h²(x)= x (-2x ³ - 4x + 3√x 2 3 n'(x) = d (-2x ³) + d (-4x) + d (3√x) dx dx h'(x) = (2) (3x²+4+3 (1) 2 |h²(x) = -6x ² - 4 + ²³ 3 25 2√√x √ 3|hx)=12x-3 4x-√7 hly--12x n(x) = d (~3) • (4x√7) - d (4x√x) = (-3) 4 = 4• zx : -12 dx 4XXX 4x -3 x 1 4x X2 4/2 Ex -6.1X (2 h" (x) = -67-3x • 2 (₁x) (2√x)2 h(x=-12x-3) -3 4x√x

дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³