if f ‘(x) = a sin x + b cos x and f ‘(0) = 4 , f(0) = 3 , f(pi/2) =5 find f(x)

Question

Arun · Answer

Dear student f'(0) = 4 = b f(x) = - a cos x + b sinx + c Now f(0) = 3 = -a + c f(π/2) = 5 = b + c Hence c = 1 And a = -2 Hence f(x) = 2 cos x + 4 sin x +1

Vikas TU · Answer

Dear student Please refer the study material and example https://www.askiitians.com/iit-jee-algebra/set-relations-functions/functions/ Good Luck

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if f ‘(x) = a sin x + b cos x and f ‘(0) = 4 , f(0) = 3 , f(pi/2) =5 find f(x)

if f ‘(x) = a sin x + b cos x and f ‘(0) = 4 , f(0) = 3 , f(pi/2) =5 find f(x)

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