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How do you find the derivative of ##secx tanx##?
Use the and derivatives of trigonometric functions.
##d/dx(secx tanx) = d/dx(secx) tanx + secx d/dx(tanx)##
## = (secxtanx)tanx+secx(sec^2x)##
## = sec tan^2x + sec^3x##
## = secx(tan^2x+sec^2x)##