What is the y=3cos(x^2-1) ?

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y=3cos(x^2-1)

y = 3 cos (x^{2} - 1)

Domain : - \infty < x < \infty

X Intercepts : (\frac{π + 4 πn + 2}{2}, 0), (- \frac{π + 4 πn + 2}{2}, 0), (\frac{3 π + 4 πn + 2}{2}, 0), (- \frac{3 π + 4 πn + 2}{2}, 0), Y Intercepts : (0, 3 cos (0^{2} - 1))

Asymptotes : None

Solution steps

Domain of

3 cos (x^{2} - 1) : - \infty < x < \infty

Axis interception points of

3 cos (x^{2} - 1) :

X Intercepts

: (\frac{π + 4 πn + 2}{2}, 0), (- \frac{π + 4 πn + 2}{2}, 0), (\frac{3 π + 4 πn + 2}{2}, 0), (- \frac{3 π + 4 πn + 2}{2}, 0),

Y Intercepts

: (0, 3 cos (0^{2} - 1))

Asymptotes of

3 cos (x^{2} - 1) :

None

\int 6 x + 5 d x

sin (y) = 5 x^{3} - 5

f (x) = x^{2} - x + 1, at x = - 1

h \to 0 lim (6 x + 3 h)

\frac{d}{d x} (1 + 2 x)