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First Derivative Test for Local Maximum

2. Let f(x)= ...

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2. Let f(x)= tan x, x (-/2,/2) & g(x)= (3-x.x).find gof

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f (x) = 3 x - 2

(g o f)^{- 1} = x - 2

\int g (x) d x

C

is constant of integration)

g o f

f o g

f (x) = | x |

g (x) = | 5 x - 2 |

f (x) = 8 x^{3}

g (x) = x^{\frac{1}{3}}

Q. Let f and g are two real functions defined as

f (x) = 2 x - 3

g (x) = \frac{3 + x}{2}

. Find gof and fog.

f (x) = [x]

g (x) = | x |

(g o f) (- \frac{5}{3}) - (f o g) (- \frac{5}{3})

f (x) = | x |

g (x) = | x |

, then evaluate:

(f o g) (\frac{5}{2}) - (g o f) (- \frac{5}{2})

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First Derivative Test for Local Maximum

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