Find the equation of the tangent line to f(t)=(tsin(t)+t^2cos(t))(2/1+t^3) at point (0,0).
For my work I have the derivative of the equation being:2(t^5+2t^3+t^3sin(t)-3cos(t))/(t^3-1)^2. After i found the derivatie i plugged in the point 0 in for t and i got 0 as my anwser and the equation for the tangent line being y=0. by using the y-0=0(m-0). But i have a feeling that this is not correct! please help.
For my work I have the derivative of the equation being:2(t^5+2t^3+t^3sin(t)-3cos(t))/(t^3-1)^2. After i found the derivatie i plugged in the point 0 in for t and i got 0 as my anwser and the equation for the tangent line being y=0. by using the y-0=0(m-0). But i have a feeling that this is not correct! please help.