Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = e' sin x Inv

Q: If f(y) = siny-6 cos y, find f'(y). Use exact values. f'(y) =

A: fy=esiny-6cosy

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: If y = sec (x* ), then is A. Ssee(x*) tan"(x*) B. 10r sec (x* ) tan" (x²) c*(x*) D. 10k tan(x*)…

A:

Q: 3. Find g'(x) if g(x) = sin³(4x) %3D A. cos (4x) B. 3 sin?(4x) cos(4x) c. 12 sin (4x) cos(4x) D. 4…

A:

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: If f(x) = 5 sin−¹(x³), find ƒ'(x). 15x² cos(x³) sin(2³)² x3 Find f'(0.4). X

A:

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: If f(x) = sin(r*), find f'(x). 3z° cos(=") CoS Find f'(2). 3a cos(r³)

A:

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: y = (cos x)* 4. Differentiate the function

A: Given :  The function  y = ( cos x ) x    To find :  The derivative of   y = ( cos x ) x

Q: Find d²y/dx² if y = =x cos(3x) — sin²(x). -

A:

Q: If f(z) = JE sin I, find f'(x).

A: