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回想起那个:
区别于第一个原则x ^ 2sin(x)?
(df)/ dx = 2xsin(x)+ x ^ 2cos(x)来自导数的定义并采取一些限制。设f(x)= x ^ 2 sin(x)。然后(df)/ dx = lim_ {h to 0}(f(x + h) - f(x))/ h = lim_ {h to 0}((x + h)^ 2sin(x + h) - x ^ 2sin(x))/ h = lim_ {h to 0}((x ^ 2 + 2hx + h ^ 2)(sin(x)cos(h)+ sin(h)cos(x)) - x ^ 2sin(x))/ h = lim_ {h to 0}(x ^ 2sin(x)cos(h) - x ^ 2sin(x))/ h + lim_ {h to 0}(x ^ 2sin (h)cos(x))/ h + lim_ {h to 0}(2hx(sin(x)cos(h)+ sin(h)cos(x)))/ h + lim_ {h to 0} (h ^ 2(sin(x)cos(h)+ sin(h)cos(x)))/ h通过三角恒等式和一些简化。在这四个最后一行中,我们有四个术语。第一项等于0,因为lim_ {h to 0}(x ^ 2sin(x)cos(h) - x ^ 2sin(x))/ h = x ^ 2sin(x)(lim_ {h to 0} (cos(h)-1)/ h)= 0,例如可以看到来自泰勒扩张或L'Hospital的规则。第四项也消失了因为lim_
你如何计算罪((13pi)/ 6)?
罪((13pi)/ 6)= SIN(2PI + PI / 6)= SIN(PI / 6)= 1 /
表明(a ^ 2sin(B-C))/(sinB + sinC)+(b ^ 2sin(C-A))/(sinC + sinA)+(c ^ 2sin(A-B))/(sinA + sinB)= 0?
第一部分(a ^ 2sin(BC))/(sinB + sinC)=(4R ^ 2sinAsin(BC))/(sinB + sinC)=(4R ^ 2sin(pi-(B + C))sin(BC)) /(sinB + sinC)=(4R ^ 2sin(B + C)sin(BC))/(sinB + sinC)=(4R ^ 2(sin ^ 2B-sin ^ 2C))/(sinB + sinC)= 4R ^ 2(sinB-sinC)类似地第二部分=(b ^ 2sin(CA))/(sinC + sinA)= 4R ^ 2(sinC-sinA)第三部分=(c ^ 2sin(AB))/(sinA + sinB) )= 4R ^ 2(sinA-sinB)添加三个部分我们有给定的表达式= 0