AP Calculus Derivatives & Formulas
d/dx sinx - answer cosx
d/dx cosx - answer -sinx
d/dx tanx - answer sec²x
d/dx cscx - answer -cscx(cotx)
d/dx cotx - answer -csc²x
d/dx sin⁻¹x - answer 1/(√1−x²)
d/dx cos⁻¹x - answer -1/(√1-x²)
d/dx tan⁻¹x - answer 1/(1+x²)
d/dx cot⁻¹x - answer -1/(1+x²)
d/dx sec⁻¹x - answer 1/(|x|√x²-1)
d/dx csc⁻¹x - answer -1/(|x|√x²-1)
d/dx xⁿ - answer nxⁿ ⁻¹
d/dx lnx - answer 1/x
d/dx a^u - answer (a^u)lna(u')
d/dx e^x - answer e^x
d/dx logbase(a)u - answer (1/ulna)u'
d/dx position - answer velocity
d/dx velocity - answer acceleration
d/dx uv - answer u∙v'+v∙u'
d/dx u/v - answer (vu'−uv')/v²
Unit Circle at values - answer Use small medium large rule: 1/2,√2/2,√3/2
d/dx sinx - answer cosx
d/dx cosx - answer -sinx
d/dx tanx - answer sec²x
d/dx cscx - answer -cscx(cotx)
d/dx cotx - answer -csc²x
d/dx sin⁻¹x - answer 1/(√1−x²)
d/dx cos⁻¹x - answer -1/(√1-x²)
d/dx tan⁻¹x - answer 1/(1+x²)
d/dx cot⁻¹x - answer -1/(1+x²)
d/dx sec⁻¹x - answer 1/(|x|√x²-1)
d/dx csc⁻¹x - answer -1/(|x|√x²-1)
d/dx xⁿ - answer nxⁿ ⁻¹
d/dx lnx - answer 1/x
d/dx a^u - answer (a^u)lna(u')
d/dx e^x - answer e^x
d/dx logbase(a)u - answer (1/ulna)u'
d/dx position - answer velocity
d/dx velocity - answer acceleration
d/dx uv - answer u∙v'+v∙u'
d/dx u/v - answer (vu'−uv')/v²
Unit Circle at values - answer Use small medium large rule: 1/2,√2/2,√3/2
