Please help me solve these math problems!1. Find an equation of the tangent line to the curve at the given pointy=1sinxcosx,(,-1)2. If f(t)=sect, find f''(4).3. Find the limit limx0sin23xx4. Find y' and y'' of y=eex5. Find an equation of the tangent line to the curve at the given pointy=sin(sinx),(,0)6. Find all points on the graph of the function f(x)=2sinx+sin2x at which the tangent line is horizontal.7. Find dydx if sin(xy)=cos(x+y)8. If g(x)+xsing(x)=x2, find g'(0).9. Find an equation of the tangent line to the curve at the given point x2+2xy+4y2=12,(2,1)10. Find y' and y'' of y=x2lnx11. If f(x)=cos(lnx2), find f'(1).12. Find dydx if y=tan-1(x-1+x22)13. Find the derivative of F(t)=ln(sinht)14. Find the derivative of f(t)=1+sinht1-sinht15. Find the derivative of y=xtanh-1x+ln1-x22