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The given example in the image I uploaded should be the format of the solution.[Type the ANSWERS and SOLUTIONS electronically with your devices] Differentiation of

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The given example in the image I uploaded should be the format of the solution.[Type the ANSWERS and SOLUTIONS electronically with your devices]

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Differentiation of Exponential Functions: D27 : a du dx (a") = a"(In a) 'dx D28 d (e") = qu du dx dx Example 1. If y = 34x, find dy dx Solution: dy - 34x (In 3) . dx dx (4x) = 34* (In 3) (4) = 34x 4 In 6 dy = 34x (In 1296) dx Example 2. Find the derivative of y = 10cos 2x Solution: dy d 10cos 2x (In 10) -cos 2x dx dx dy dx = -2(In 10) (sin 2x) (10cos 2x) Activity 1.2 Find - and simplify whenever possible. 1. x = e -cos 2t 1+2x 2. y = ; 1-2* 3. y = e-4x 4. y = x2x 5. y = 34x

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