Question

Use ε − δ definition to prove that the function f (x) =
2x/3x^2 - 2 is continuous at the

point p = 1.

Answer #1

Apply ε − δ definition to show that f (x) = 1/x^2 is continuous
in (0, ∞).

Use the ε-δ-definition of continuity to show that if f, g : D →
R are continuous then h(x) := f(x)g(x) is continuous in D.

suppose that f'(x)=3x^2+2x+7 and f(1)=11. find the function
f(x)

Using only definition 4.3.1 (continuity), prove that
f(x)=x2+3x+4 is continuous on R.

the function f given by f(x)=2x^3-3x^2-12x has a relative
minimum at x=

use the definition of the derivative to find
f′(3) if f(x) = x^2 - 2x

Use Newton’s Method to approximate a critical
number of the function ?(?)=(1/3)?^3−2?+6.
f(x)=1/3x^3−2x+6 near the point ?=1x=1. Find the next two
approximations, ?2 and ?3 using ?1=1. x1=1 as the initial
approximation.

Differentiate
f(x) = (√ x +1)(x(2/5)+3x)
f(x) =(5x3+1)/(x2+2x+1)
f(x) = -5x(3x-3)4
f(x) = (2x +
(x2+x)4)(1/3)

Find the derivative of the function.
(a) f(x) = e^(3x)
(b) f(x) = e^(x) + x^(2)
(c) f(x) = x^(3) e^(x)
(d) f(x) = 4e^(3x + 2)
(e) f(x) = 5x^(4)e^(7x+4)
(f) f(x) = (3e^(2x))^1/4

f(x)=3x^4-7x^2+2x+1
Find the tangent line at x=2

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 2 minutes ago

asked 2 minutes ago

asked 7 minutes ago

asked 11 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 17 minutes ago