Webf (x) = tan x − x f ′ (x) = sec (x) 2 − 1 > 0 Or sec (x) 2 > 1 Now cos (x) ϵ [− 1, 1] Hence sec (x) ϵ (− ∞, − 1] ∪ [1, ∞). Thus sec 2 (x) ϵ [1, ∞) Hence f ′ (x) > 0 for all x. Hence f (x) is … Weba. If f (x ) is di erentiable at a point x , it is continuous at this point. b. If you integrate f (x ) to get an antiderivative, and then di erentiate the antideriva-tive, you get the original function f (x ). c. If the tangent line to the graph of a continuous function f (x ) at x = c is vertical, f (x ) is not di erentiable at x = c. d.

Answered: f(x)=2(9)^(x+1)=5 on what interval is… bartleby

WebFind the nature of interval of the given function . We know that a function f x is increasing then f ' x > 0. f x = tan x-x ⇒ y = tan x-x Let y = f (x) d y d x > 0 ⇒ sec 2 x-1 > 0 ⇒ tan 2 x … WebMar 30, 2024 · Thus, Rational Function 𝑓(𝑥) = sin⁡𝑥/cos⁡𝑥 is continuous for all real numbers except at points where 𝑐𝑜𝑠 𝑥 = 0 i.e. 𝑥 ≠(2𝑛+1) 𝜋/2 Hence, … alberta standata electrical service

2.3: Graphs of the Tangent and Cotangent Functions

WebCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... WebEquations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. … WebDec 20, 2024 · Figure 1.7.3.1: Diagram demonstrating trigonometric functions in the unit circle., \). The values of the other trigonometric functions can be expressed in terms of x, y, and r (Figure 1.7.3 ). Figure … alberta stair code