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: E Find the derivatives of y with respect to x: a) y = xex - ex b) y = e(4x+;) c) y = e*(sin x + cos…

A: we have to find the derivative of following function with respect to y (a) given y=xex-ex…

Q: Let f(x) 6 sin x + 4 cos z Then f'(x) = The equation of the tangent line to y = f(x) at a = π/3 can…

A:

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: (3e* sin(y) + y)dx + (2x + e* cos(y))dy = 0 not exact

A: Que is not clear though. We Shall check exactness for the given differential equation. If you have…

Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

Q: y' : x² + y² sin x

A: We know thatExistence and uniqueness theorem: If f is continuous on an open rectanglethat contains…

Q: 4 Vx. 7 Vx, What is the derivative of y ( In 7 + In 4 ) 28 Vx (A) y' = ( In 11 ) 28 Vx y' 2 X 7 In…

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

A: Please refer to the image below

Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

A:

Q: Use the half-angle formula to find the exact value sin (π/8)

A: Trigonometry

Q: (tanx) y' = y, y(플) = 플 T

A: Given differential equation:- tanxy'=y

Q: b) f′(6)≈ c) f′(4)≈

A: To find out the slopes by the help of table.

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: Question: Find the derivative. y = 2/T sin /T Select one: sin /I y' = cos /T + cos/r y' = sin /I +…

A: Topic:- derivatives

Q: f"(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 4 f(0) = -sin (0) - cos(0) + (0) + 2 x

A: Given the ordinary differential equation:.The aim is to find the function f.Integration Formula:

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: 3 5. y= 23x+1 %3D 2 3x+1

A: Given : y = 323x + 1