(D) h(x) = (gog)(x). h(x) = sqrt(4-(sqrt(4-x))) Domain= (-12,4]

a) Select a point on the graph of y = −x² + 2x³ + 13x² − 14x − 24, where the roller coaster is going up and evaluate The First Derivative i. ii. b) Select a point on the graph of y = -x + 2x³ + 13x² − 14x − 24, where the roller coaster is down and evaluate The First derivative The Second Derivative ii. The Second Derivative c) At the highest, or lowest point of the coaster, the first derivative is zero. Does that mean that the second derivative at that point is zero? Explain using correct mathematical language and diagrams/graphs, and examples.

Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A = (20, 100], B = (90, 150], C= {70, 100, 200}, D = (10, 30) and E = {x e Z: X =7 (mod 10)}. Find:

Find (g∘ f)(x) given that f(x) = sqrt2x-3 and g(x) = x^2 + 8.

find the differentiate

Given: f(x,y)=9-x^2- y^2

2. Determine f(x) = 2x² a) f(0) d) f ( 12 ) each value for the function 3x + 1. b) f(3) e) 3f(2x) - c) f(-1) f) f(3x)

Find the Derivative please

Please

Let f(x) = x + 2. Find equations for the following. For each part, identify what is the input and what is the output. A) f(x^2) B) f(x/4) C) f((x+3)/2))