ch of the following is the result of differentiating both sides of the ation x sin(y)=In(x)+y² with respect to x ? denotes the derivative with respect to x .) in(y) · y' = ! + 2y · y' cos(y) · y' + 2y · y' cos(y') = + 2y · y' cos(y) + x sin(y) · y' = ! + 2y · y' in(y) + x cos(y) · y' = + 2y · y'

Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

A:

Q: Find the derivative of y with respect to 0 y = 8e°(sin e - cos €) O 16e° sin e 8e (sin e - cos 0) +…

A: Given. We are given function of Y and theta and we need to find the function dY/d theta The concept…

Q: Find the derivative of y with respect to x using implicit differentiation in the equation *³y =…

A: We can find the derivative as below.

Q: If f is a differentiable function and y = cos(f(x3)), what is 2 when x = 2? (A) – sin(f'(8)) (B) –12…

A: Here to find the required derivative we have to apply the chain rule of differenciation.

Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

A:

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the derivative. y (cscx+ cot x)( csc x- cotx) OA. y' 1 B. y' 0 Xcy= - csc x cot x CSC X CotX D.…

A: Differentiate function

Q: Find y'' if y = 2x sin x. O O O A. y'' = 4 cos x - 2x sin x B. y'' = - 2x sin x OC. y'= - 4 cos x +…

A: