The derivative of 01 COS I sin x esin(x) + ecos(x) et dt is - cos(x)esin(x) — sin(x)ecos(x) cos(x)esin(x) + sin(x)ecos(x) ecos(x) — esin(x)
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- Find h' (x) if h (x) = (2 csc x) (5 sin x – 3x). O-2 cot² x (5 sin x - 3x) 2 cotx (5 cotx csc x) -2 csc x cotx (5 cos x - 3) 6 csc x (x cotx - 1)FInd the derivatives of the function f(x) from the first pribnciple cos2xThe derivative of cos² cos²x - S - sin² x COS X sin x sin² x - cos² 1 - cos x sin² x — sin x cos² x - t² dt is cos x sin² x + sin x cos²x X
- Find the derivative of 1+sinx f(x) = x+cos x cos? x (x+cos x)? x cos x x+cos x x COS X (x+cos x)2 Cos x (x+cos x)2S cos'x vsin x dx (sin x)-(sinx)+c sinx) +(sinx) +c c. (sinx) –(sinx) +C (sinx) +(sinx)i + c A. D. B.Which is the derivative of y= sin (x2-2x + 1)? (2x -2) (2x-2)Cos(x²-2x + 1) Option 2 (x²-2x + 1) Option 3
- sec(x)cos(3x)=0 from [-pi/2, pi,2]3 a Differentiate b Differentiate sin x and hence find an anti-derivative of COS X cos(2x) sin(2x) 1 cos²x and hence find an anti-derivative of 1 sin² (2x)Find an expression for the derivative dy/dx If y=tan(x2sinh(x)) A) dy/dx =sec (x2 cosh(x) + 2x sinh(x)) tan(x2cosh(x) + 2x sinh(x)) B) dy/dx = sec2(x2 sinh(x)) (x2 cosh(x) + 2x sinh(x)) C) dy/dx = sec2(x2 cosh(x) + 2x sinh(x)) D) dy/dx = sec(x2sinh(x)) tan(x2sinh(x)) (x2cosh(x) + 2x sinh(x))