13. Apply the quotient rule to find the derivative of each of the following expressions a)...

 

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13. Apply the quotient rule to find the derivative of each of the following expressions a) f(x) { fix) = [[e^x) / (sqrt(x)] b) g(x) : %3! x3 +1 { g(x) = [(x) / (x^3 + 1)] QUESTION 14 Quotient Rule Trigonometric Apply the quotient rule to find the derivative of each of the following trigonometric expressions. cos x a) y = cot x = sin x { y = cot x = [ (cos x)/ (sin x) ] b) y = sin x { y = [(x^2) / (sin x)] QUESTION 15 Second Derivatives Find the first derivative f(x) and the second derivative f"(x) for each of the following functions. a) Polynomial f(x) = 3x5 - 8x³ + 4x2 - 8 { f(x) = 3x^5 - 8x^3 + 4x^2 - 8 b) Trigonometric g(x) = 5 sin x - 2 cos x %3D { g(x) = 5 sin x - 2 cos x 13. Apply the quotient rule to find the derivative of each of the following expressions a) f(x) { fix) = [[e^x) / (sqrt(x)] b) g(x) : %3! x3 +1 { g(x) = [(x) / (x^3 + 1)] QUESTION 14 Quotient Rule Trigonometric Apply the quotient rule to find the derivative of each of the following trigonometric expressions. cos x a) y = cot x = sin x { y = cot x = [ (cos x)/ (sin x) ] b) y = sin x { y = [(x^2) / (sin x)] QUESTION 15 Second Derivatives Find the first derivative f(x) and the second derivative f"(x) for each of the following functions. a) Polynomial f(x) = 3x5 - 8x³ + 4x2 - 8 { f(x) = 3x^5 - 8x^3 + 4x^2 - 8 b) Trigonometric g(x) = 5 sin x - 2 cos x %3D { g(x) = 5 sin x - 2 cos x