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: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

Q: Determine the derivative of f(x) = r² cosa- 2x sinx. 1 f'(x) = (x² + 2) sin x 2 f'(x) = -(x² + 2)…

A:

Q: derivative

A: We will find the derivative.

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 second derivative of f(x) = x2+ e* - COSX. O a. f(x) = 2x + xex - cosx O b. f'(x) = 2x + e*…

A: Solve by derivative

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: .) The instantaneous rateof change fucntion of f(x) = 4x² - 2x + 8 or the derivative of f(x) is: a.…

A: Given that: (i) f(x)=4x2-2x+8(ii)f(x)=sin x

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: Q3/ derivative the function Y=(sinx+cosx)secx. * y'= (sin x+ cos x) d/dx( sec x) +sec x d/dx (sin x+…

A: It is asked to find the derivative of Y = (sinx + cosx)secx

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

A:

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: What is the first derivative of y=tanh(0³+30)? A y'=3(0²+1)sech (0²+30) dy =3(0²+ 1)sech²(0²+ 30) B…

A:

Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: QI// Find the first derivative for the following functions: (*+1)(x +2) (x-1)(x 2) r'+ 3e *2 2) y -…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: 1. y' = 2. y'= 1 cos x cos y 3. y' = 3 cos x cos y 4. y' = cos x sin y = 2 cos x + sin y

A: 1.2.

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:

Q: 3. Find the derivative of y with respect to x in the following functions : u? a) y= u² +1 18x' y'…

A:

Q: Differentiate Derivative of outer function  Derivative of inner function Differentiation  1. y = sin…

A: