Exercise:
nprvmulticols abclist abc displaystyle fracddddx left x^a sinbx right abc displaystyle fracddddy left y cos^alpha y^n right abc displaystyle fracddddz left a^beta z lnz^ + right abc displaystyle fracddddt left cosh^t^ b^t right abc displaystyle fracddddtheta left theta log_asinhtheta right abc displaystyle fracddddphi left phi^ cos^phi^ + right abc displaystyle fracddddr left sinh^r^ lnr right %h abc displaystyle fracddddu left a^lnu right abc displaystyle fracddddv left sinv b^v^ right abc displaystyle fracddddw left cosw^ sinhw right %k abc displaystyle fracddddalpha left alpha^ a^sinalpha right %l abc displaystyle fracddddq left b^q^ ln q right %m abc displaystyle fracddddx left x^n log_bx^ + right %n abc displaystyle fracddddy left cos^y lncoshy right %o abc displaystyle fracddddz left ln^sinhz right %p abc displaystyle fracddddt left t c^cost^ right %q abc displaystyle fracddddphi left phi^ ln^phi^ + phi right %r abc displaystyle fracddddx left sinhx^cosh^x^ right %s abc displaystyle fracddddy left a^lny^ + right %t abc displaystyle fracddddz left cos^lncoshz right %u abc displaystyle fracddddtheta left sintheta^lntheta right %v abc displaystyle fracdddda left b^a log_ca^a right %w abc displaystyle fracddddb left b lnb sinln b right abc displaystyle fracddddt left tfracsinhtlnt^ + right abclist nprvmulticols

Solution:
abclist %a abc a x^a- sinbx + bx^a cosbx %b abc cos^alpha y^n + y cosalpha y^n-sinalpha y^n alpha n y^n- %c abc beta a^beta z lnz^ + + a^beta z fraczz^ + ln a %d abc cosht^sinht^ t b^t ln b + cosh^t^ b^t ln b %e abc log_asinhtheta + theta fraclna fraccoshthetasinhtheta %f abc phi cos^phi^ + + phi^ cos^phi^ + - sinphi^ + phi %g abc r sinhr^coshr^ lnr + sinh^r^ fracr %h abc a^lnu fracu lna a^lnu fraclnau a^lnu %i abc cosvb^v^ ln b + sinv v b^v^ ln b %j abc -w sinw^sinhw + cosw^coshw %k abc fracddddalpha left alpha^ a^sinalpha right fracddddalpha left alpha^ right a^sinalpha + alpha^ fracddddalphaleft a^sinalpha right fracddddalpha left alpha^ right a^sinalpha + alpha^ fracddddalphaleft texte^lnasinalpha right alpha a^sinalpha + alpha^ a^sinalpha lnacosalpha a^sinalpha left alpha + alpha^ lnacosalpha right %l abc fracdddd q!left b^q^ ln q right fracdddd q!left e^lnbq^ln q right e^lnbq^ln q lnbfracdddd q!leftq^ln qright b^q^ ln qlnbleft qln q + q right %m abc fracdddd x!left x^nlog_bx^+ right fracdddd xx^nlog_bx^+ + x^nfracdddd x!lefttfraclnx^+ln bright n x^n-log_bx^+ + x^n fracln b fracx^+fracdddd xx^+ n x^n-log_bx^+ + x^n fracxx^+ln b %n abc fracdddd y!left cos^ylncosh y right fracdddd y!leftcos^ yrightlncosh y + cos^ y fracdddd y!leftlncosh yright bigcos y-sin ybiglncosh y + cos^ y fraccosh ysinh y -cos ysin ylncosh y + cos^ y fracsinh ycosh y %o abc fracdddd z!left biglnsinh zbig^ right lnsinh zfracdddd z!leftlnsinh zright lnsinh z fracsinh zfracdddd zsinh z lnsinh z fracsinh zcosh z %p abc fracddddt left t c^cost^ right fracddddtt c^cost^ + t fracddddt!left c^cost^ right c^cost^ + t fracddddt!left e^lnccost^ right c^cost^ + t e^lnccost^ lncfracddddt !left cost^ right c^cost^ + t c^cost^ lnc left -sint^ t right c^cost^ - t^ lnc sint^ c^cost^ c^cost^ left - t^ lncsint^ right %q abc fracddddphi!left phi^ ln^phi^ + phi right fracddddphiphi^ln^phi^+phi + phi^ fracddddphi!leftln^phi^+phiright philn^phi^+phi + phi^ ln^phi^+phifracddddphi!leftlnphi^+phiright philn^phi^+phi + phi^ ln^phi^+phi fracphi^+phi fracddddphiphi^+phi philn^phi^+phi + phi^ ln^phi^+phi fracphi^+phi phi+ %r abc fracddddx!left sinhx^cosh^x^ right fracddddx!leftsinhx^rightcosh^x^ + sinhx^fracddddx!leftcosh^x^right coshx^ fracddddxx^cosh^x^ + sinhx^ coshx^fracddddxcoshx^ xcoshx^cosh^x^ + sinhx^ coshx^sinhx^ fracddddxx^ xcoshx^cosh^x^ + x^sinhx^coshx^sinhx^ %s abc fracddddy!left a^lny^ + right fracddddy!left e^lna lny^+ right e^lna lny^+ lna fracddddy!leftlny^+right a^lny^ + lna fracy^+ fracddddyy^+ a^lny^ + lna fracyy^+ %t abc fracddddz!left cos^lncosh z right coslncosh z fracddddz!leftcoslncosh zright coslncosh z big-sinlncosh zbig fracddddz!leftlncosh zright -coslncosh zsinlncosh z fraccosh z sinh z -coslncosh zsinlncosh z;tanh z %u abc fracddddtheta!left sintheta^lntheta right fracddddtheta!leftsintheta^rightlntheta + sintheta^fracddddthetalntheta costheta^ fracddddthetatheta^lntheta + sintheta^ fractheta thetacostheta^lntheta + fracsintheta^theta %v abc fracdddda left b^a log_ca^a right fracdddda!leftb^aright log_ca^a + b^a fracdddda!leftlog_ca^aright fracdddda!lefte^alnbright log_ca^a + b^a fracdddda!lefttfraclna^alncright b^a lnb log_ca^a + b^a fracdddda!lefttfraca lnalncright b^a lnb log_ca^a + b^a fraclncleftlna + right b^a left lnblog_ca^a + fraclna+lnc right %w abc fracddddb left b lnb sinln b right fracddddbb lnb sinln b ;+; b lnb fracddddb!leftsinln bright left fracddddbb lnb + b fracddddbln b right sinln b + b lnb cosln bfracddddbln b left lnb + b fracb right sinln b + b lnb cosln bfracb biglnb + bigsinln b + lnbcosln b %x abc fracdddd t!left tfracsinhtlnt^+ right fraclnt^+fracdddd tsinh t - sinhtfracdddd tlnt^+biglnt^+big^ fraclnt^+cosht - sinht fract^+fracdddd tt^+biglnt^+big^ fraclnt^+cosht - sinht fract^+ tbiglnt^+big^ fraclnt^+cosht - tfractsinhtt^+biglnt^+big^ abclist