Differentiation

2010-05-11 5:06 am
Differentiate y=4cos(sin(square root of x))

thanks

回答 (1)

2010-05-11 5:09 am
✔ 最佳答案
Use chain rule to tackle the problem

y = 4cos(sin(sqrtx)))

dy/dx = 4 d[cos(sin(sqrtx))]/d(sin(sqrtx)) X d(sin(sqrtx))/d(sqrtx) X d(sqrtx)/dx

= 4 [-sin(sin(sqrtx))][cos(sqrtx)] 1/[2sqrt(x)]

= -2[cos(sqrtx)][sin(sin(sqrtx))] / (sqrt(x))
參考: Physics king


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