range of 2cos(3x)

Topic

Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

taylor log₃(x)

Solution

1ln(3) (x−1)−12ln(3) (x−1)²+13ln(3) (x−1)³−14ln(3) (x−1)⁴+15ln(3) (x−1)⁵+…

Show Steps

Hide Steps

Solution steps

One step at a time

Taylor Series

Taylor series of function f(x) at a is defined as:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Apply the Taylor Formula

=0+ddx (log₃(x))(1)1! (x−1)+d²dx² (log₃(x))(1)2! (x−1)²+d³dx³ (log₃(x))(1)3! (x−1)³+…

Evaluate Derivatives

=0+1ln(3) 1! (x−1)+−1ln(3) 2! (x−1)²+2ln(3) 3! (x−1)³+−6ln(3) 4! (x−1)⁴+24ln(3) 5! (x−1)⁵+…

Refine

=1ln(3) (x−1)−12ln(3) (x−1)²+13ln(3) (x−1)³−14ln(3) (x−1)⁴+15ln(3) (x−1)⁵+…

Description

The Simplify Calculator is a valuable online tool designed to simplify mathematical expressions quickly and accurately. Here's how to utilize its features:

Begin by entering your mathematical expression into the above input field, or scanning it with your camera.
Once you've entered the expression, click the 'Go' button to initiate the simplification process.
The calculator will instantly simplify the expression and provide the result, helping you save time and effort.
For more complex expressions, the calculator offers step-by-step solutions, aiding in understanding the simplification process.

Simplify Examples