𝑑
𝑑𝑥𝐴𝑟𝑐𝑠𝑒𝑐ℎ)𝑢 = −𝑑𝑢
𝑢√1−𝑢!
𝑑
𝑑𝑥𝐴𝑟𝑐𝑐𝑠𝑐ℎ)𝑢 = −𝑑𝑢
𝑢√1+𝑢!
𝑑
𝑑𝑥𝐴𝑟𝑐𝑐𝑜𝑡ℎ)𝑢 = −𝑑𝑢
1−𝑢!
Derivadas
𝑑(𝑐)
𝑑𝑥 =0
𝑑(𝑥)
𝑑𝑥 =1
𝑑(𝑢")
𝑑𝑥 =𝑛𝑢"#$ ∙𝑑(𝑢)
𝑑𝑥
𝑑
𝑑𝑥𝑢(𝑥)+𝑣(𝑥)=𝑑(𝑢)
𝑑𝑥 +𝑑(𝑣)
𝑑𝑥
𝑑𝑓(𝑢)
𝑑𝑥 =𝑓´(𝑢)∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥(ln𝑢)= 𝑑𝑢
𝑢
𝑑(𝑒%)
𝑑𝑥 =𝑒%∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥𝑢(𝑥)∙𝑣(𝑥)= 𝑢(𝑥)∙𝑑(𝑣)
𝑑𝑥 +𝑣(𝑥)∙𝑑(𝑢)
𝑑𝑥
𝑑
𝑑𝑥<𝑢(𝑥)
𝑣(𝑥)==𝑣(𝑥)∙𝑑𝑢
𝑑𝑥−𝑢(𝑥)∙𝑑𝑣
𝑑𝑥
𝑣!)
Trigonométricas
𝑑
𝑑𝑥cos𝑢 = −𝑠𝑒𝑛)𝑢)∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥𝑠𝑒𝑛)𝑢 =cos𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥tan𝑢 = sec!𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥cot𝑢 = −csc!𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥sec𝑢 = sec𝑢 ∙tan𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥csc𝑢 = −csc𝑢∙cot𝑢∙𝑑𝑢
𝑑𝑥
Hiperbólicas
𝑑
𝑑𝑥cosh𝑢 = 𝑠𝑒𝑛ℎ)𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥𝑠𝑒𝑛ℎ)𝑢 =cosh𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥tanh𝑢 = sech!𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥coth𝑢 = −csch!𝑢 ∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥sech𝑢 = −tanh𝑢∙sech𝑢∙𝑑𝑢
𝑑𝑥
𝑑
𝑑𝑥csch𝑢 = −coth𝑢∙csch𝑢∙𝑑𝑢
𝑑𝑥
Inversas trigonométricas
𝑑
𝑑𝑥𝐴𝑟𝑐𝑜𝑠)𝑢 = −𝑑𝑢
√1−𝑢!
𝑑
𝑑𝑥𝐴𝑟𝑐𝑠𝑒𝑛)𝑢 = 𝑑𝑢
√1−𝑢!
𝑑
𝑑𝑥𝐴𝑟𝑐𝑡𝑎𝑛)𝑢 = 𝑑𝑢
𝑢!+1
𝑑
𝑑𝑥𝐴𝑟𝑐𝑠𝑒𝑐)𝑢 = 𝑑𝑢
𝑢√𝑢!−1
𝑑
𝑑𝑥𝐴𝑟𝑐𝑐𝑠𝑐)𝑢 = −𝑑𝑢
𝑢√𝑢!−1
𝑑
𝑑𝑥𝐴𝑟𝑐𝑐𝑜𝑡)𝑢 = −𝑑𝑢
𝑢!+1
Inversas hiperbólicas
𝑑
𝑑𝑥𝐴𝑟𝑐𝑐𝑜𝑠ℎ)𝑢 = 𝑑𝑢
√𝑢!+1
𝑑
𝑑𝑥𝐴𝑟𝑐𝑠𝑒𝑛ℎ)𝑢 = 𝑑𝑢
√1+𝑢!
𝑑
𝑑𝑥𝐴𝑟𝑐𝑡𝑎𝑛ℎ)𝑢 = 𝑑𝑢
1−𝑢!
