Please guide me with solutions to these problems. thank you!

Name: Section: Score: Written Work #3 I. Identify the derivatives of the following functions. Show your complete solution. (30 pts) Final Answer: Final Answer: 1. f(x) = In 5x 2. y = 103x Final Answer: Final Answer: 3. y = sin(e 3x) 4. y = cos 2x (ex2-1) Final Answer: Final Answer: 5. y = esin x 6. y = In(tan x + secx) Final Answer: Final Answer: Il. Error Identification. Identify the errors present in the given solutions. Put an X mark on the spaces provided beside the error, then write the correct solution. (15 pts) 1. y = 2 In(3x2 - 1) dy dx = 2 dx a [In(3x2 - 2)] - (3x2 - 1) dy dx - = 2. In(3x2 - 1) . 6x dy 12x dx 3x2 - 1 2. y = x(In x) 3 dy dx = x dx (Inx) 3 + (Inx )3 x dy dx = x3(In x)2 + (In x)3(1) dy dx = 3(In x)2 + (Inx)3 dy = (In x)2(3 + Inx) secx dx 3. g(x) = - 2 sin x (kindly refer to your g' (x ) = - sec x dx (2 sin x) - (2 sin x) ax (sec x) trigonometric (2 sin x)2 identities) g' (x) = 2 sec x cos x - 2 sin x sec x tan x (2 sin x) g' (x) = - 2(1) - 2(tan2x) (2 sin x)2 g'(x) = 2(1 - tan x) 2sin2x g' (x) = 1 - tan x 2sin2x