How do you find the derivative of #z= ((e^(t^2))+t) / (sin(2t))#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Bill K. May 29, 2015 Use the quotient rule, chain rule, and linearity: #dz/dt=\frac{sin(2t)\cdot(e^{t^{2}}\cdot 2t+1)-(e^{t^{2}}+t)\cdot 2cos(2t)}{sin^{2}(2t)}# Answer link Related questions What is the Quotient Rule for derivatives? How do I use the quotient rule to find the derivative? How do you prove the quotient rule? How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#? How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#? How do you use the quotient rule to find the derivative of #y=tan(x)# ? How do you use the quotient rule to find the derivative of #y=x/(x^2+1)# ? How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ? How do you use the quotient rule to find the derivative of #y=(x-sqrt(x))/(x^(1/3))# ? How do you use the quotient rule to find the derivative of #y=x/(3+e^x)# ? See all questions in Quotient Rule Impact of this question 2309 views around the world You can reuse this answer Creative Commons License