en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

f(x)=sin(3x)cos(5x)

Solution

f (x) = sin (3 x) cos (5 x)

Solution

Period : π

Domain : - \infty < x < \infty

X Intercepts : (πn, 0), (\frac{2 π}{3} + πn, 0), (\frac{π}{3} + πn, 0), (\frac{π}{10} + πn, 0), (\frac{π}{2} + πn, 0), (\frac{9 π}{10} + πn, 0), (\frac{3 π}{10} + πn, 0), (\frac{7 π}{10} + πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

sin (3 x) cos (5 x) : π

Domain of

sin (3 x) cos (5 x) : - \infty < x < \infty

Axis interception points of

sin (3 x) cos (5 x) :

X Intercepts

: (πn, 0), (\frac{2 π}{3} + πn, 0), (\frac{π}{3} + πn, 0), (\frac{π}{10} + πn, 0), (\frac{π}{2} + πn, 0), (\frac{9 π}{10} + πn, 0), (\frac{3 π}{10} + πn, 0), (\frac{7 π}{10} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (3 x) cos (5 x) :

None

Graph

Popular Examples

d/(dt)((t+pi)/t cos(t))

\frac{d}{d t} (\frac{t + π}{t} cos (t))

limit as x approaches 0 of 1/(x^2)-1/x

x \to 0 lim (\frac{1}{x ^{2}} - \frac{1}{x})

integral of sec^6(3x)

\int sec^{6} (3 x) d x

y^{^{'}} - \frac{4 y}{t} = 5

derivative of (6x^2+1)/(x^2+9)

d er i v a t i v e \frac{6 x ^{2} + 1}{x ^{2} + 9}

Frequently Asked Questions (FAQ)

What is the f(x)=sin(3x)cos(5x) ?
The f(x)=sin(3x)cos(5x) is