QUESTIONS ON DIFFERENTIATION

# QUESTIONS ON DIFFERENTIATION - 4 Find the first order...

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QUESTIONS ON DIFFERENTIATION 1. Find df dx and 2 2 d f dx given that: a) ) cos( ) 3 sin( ) 4 3 ln( ) ( 2 2 x x x x f + - = b) 2 / 1 2 2 7 ) ( 3 x e x f x x + = - 2. Find dy dx by using logarithmic differentiation, given that: a) 2 / 5 2 2 ) 3 ( ) 2 ( + + = x x y b) ) 3 ln( 2 x e y x = 3. Find the stationary points of the following function and determine their nature. Then, produce plots of the function and its first derivative using MATLAB. x x x f 3 ) ( 4 + = Note: only real stationary points should be considered (not complex).

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Unformatted text preview: 4. Find the first order partial derivatives f x f f and f y f f of the following functions: a) y x y x y x f 2 3 3 2 ) , ( 2 3 +-= b) ) sin( 2 ) , ( 2 2 xy y xe y x f y + = 5. Show that if ) 2 ( 3 2 t x t x e e u +-+ = then 2 2 2 2 4 x u t u ∂ ∂ = ∂ ∂...
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QUESTIONS ON DIFFERENTIATION - 4 Find the first order...

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