张宝珠的回答：f'(c) = 0f'(x^n) = nx^(x-1)f'(1/x) = -1/x^2f'(√x) = 1/2√xf'(㏑x) = 1/xf'(㏒ax) = 1/x㏑a （a为底）f'(a^x) = a^x * ㏑af'(e^x) = e^xf'(sinx) = cosxf'(cosx) = -sinxf'(tanx) = (sec^2)x = 1/(cos^2)xf'(cotx) = -(csc^2)x = -1/(sin^2)xf'(secx) = cesx * tanxf'(cscx) = -cscx * cotxf'(arcsinx) = 1/√(1-x^2)f'(arccosx) = -1/√(1-x^2)f'(arctanx) = 1/1+x^2 汪琳的回答：f'(c) = 0f'(x^n) = nx^(x-1)f'(1/x) = -1/x^2f'(√x) = 1/2√xf'(㏑x) = 1/xf'(㏒ax) = 1/x㏑a （a为底）f'(a^x) = a^x * ㏑af'(e^x) = e^xf'(sinx) = cosxf'(cosx) = -sinxf'(tanx) = (sec^2)x = 1/(cos^2)xf'(cotx) = -(csc^2)x = -1/(sin^2)xf'(secx) = cesx * tanxf'(cscx) = -cscx * cotxf'(arcsinx) = 1/√(1-x^2)f'(arccosx) = -1/√(1-x^2)f'(arctanx) = 1/1+x^2 |
