**I already have the answers but I need help understanding how to solve the equa

Question

**I already have the answers but I need help understanding how to solve the equations. Please write out all steps! Thank you so much!** Finding a Derivative In Exercises 43-64, find the derivative of the function. 44. y sin TTX 43. y cos 4x 46, h(a) sec x 2 48 y cos(1 2x)2 47. y sin(mx) sec tan(16) 49. h(x) 50.8(6) sin 2x cos 2x cotx COS v 52. 8(v) sin x csc v 53. y 4 sec2 x 54. g(t) cos mrt 55. f(0) tan 2 50 56. g(6) cos2 80 57. f(0) 58. h (t) 2 cot?(Trt 2) 20 4 Sin 59. f(t) J 3 sec 2(Tt 1) 5 cos(Tx) 60. 3x 62. Sin Vx y Sin x 61. Sin 64. y COS sin (tan Tx) 63. y- sin tan 2x)

Explanation / Answer

43)y =cos4x

dy/dx =(-sin4x) (4*1)

dy/dx =-4sin4x

44)y =sin(pi x)

dy/dx=(cos pi x) (pi *1)

dy/dx=pi cos(pi x)

45)g(x)=5tan3x

g'(x)=(5sec23x)*(3*1)

g'(x)=15sec23x

46) h(x)=secx2

h'(x)=(secx2 tanx2)(2x2-1)

h'(x)=2x secx2 tanx2

47)y =sin(pi x)2

dy/dx=(cos(pi x)2)(2(pi x)2-1)(pi *1)

dy/dx=(cos(pi x)2)2(pi x)pi

dy/dx=2pi2 x cos(pi x)2

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