MAT 265 Midterm: Term Test 2 - Fall 2017
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If functions f and g are both differentiable, then d dx. 2 : ( cos t ) g (t) (4t. = 5 (x) h f(x) cos x f (x) sin x. If f and g are both differentiable functions then. [d dx f(x) g(x) g(x) f (x) f(x) g (x) 2sin x (4x 7x) 2 cos x ( 12x 7 ) 3 sin x (3x 2 ) (cos x ) sin x 2. Calculate h"(0) (x) h (3(f (x)) 2x) (2 cos x) + (3(f(x)) x ) ( 2 sin x ) = c 2 sc x d dx d dx. [ sec x ] sec x tan x. [ csc x ] csc x cot x. Prove that if y = tan x then dy dx = Proof : y = y = tan x > y. = sin x cos x cos x ( cos x ) sin x ( sin x ) cos x2 y =
