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Popular >

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

Popular Examples

derivative of 1/(sqrt(1+4x))derivative of

\frac{1}{1 + 4 x}

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 sqrt(2t+1)

\int 2 t + 1 d t

integral of sec^6(3x)

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

Frequently Asked Questions (FAQ)

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