find dy/dx of y=log(e^x+sinx)
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Note : - d(logx)/dx = 1/x d()/dx = d(sinx)/dx = cosx d(u+v)/dx = [d(u)/dx] + [d(v)/dx] If y = f(g(x)) Then dy/dx = f'(g(x))*g'(x) For example if y = log(logx) Then dy/dx = d[log(logx)]/dx*(d(logx)/dx) = (1/logx)*[d(logx)/dx] = (1/logx)*(1/x) It's known as chain rule. :-)
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