with detailed solution handwritten neat and clean

2/2 . . 2. y = 4u+ 10 and u = x4 C. SOLVING: Differentiate the following functions. (3 points each) 3. f(x) = (x2 +3)(x+5) 4. y = - - tan x sin x D. HIGHER ORDER DERIVATIVES: Find the third derivative of the following functions. (3 points each) 5. y = 4x3 + 3x2 + 2x + 1 6. y = cos x + sin x Bonus Question (5 points): Write the 7 core values of Treston International College.A. TRUE OR FALSE: Write OMSIM if the statement is always true and NAH if otherwise. (2 points each). 1. The derivative of sec x is equal to sec x tan x 2. The number e, aka Euler's number, is a mathematical constant used as the base of a natural logarithm. Thus, the derivative of f(x) = e is 1. 3. Generally, the derivative of a sum is the sum of the derivatives. 4. The higher order derivative of f(x) = x3 is f"(x). 5. The derivative of - sin x is cos x. B. CHAIN RULE: Differentiate the following by applying chain rule (5 points each) 1. y = Vu and u = 2x2 + 5 2. y = 4u2 + 10 and u = x* C. SOLVING: Differentiate the following functions. (3 points each) 3. f(x) = (x2 + 3)(x +5) 4. y = = tan x sin x