2010011105 Level: AEvaluate the following limit. (Apply L'Hospital's rule repeatedly.) limx→0x4+2x3x−sinx120−126−6
2010017801 Level: BLet p be the tangent to the graph of the function f(x)=x2−6x+1 perpendicular to the line x−2y+3=0. Find the point A, where p touches the graph of the function f.A=[2;−7]A=[4;−7]A=[1;−4]A=[0;1]
2010017802 Level: BFind the tangent to the graph of the function f(x)=x2−6x+1 perpendicular to the line x−2y+4=0.2x+y+3=0−2x−y−1=04x+2y−1=0−4x−2y+3=0
9000062407 Level: BFind the tangent to the function f(x)=lnx at the point T=[1;y0].y=x−1y=xy=x+1y=−x
9000062408 Level: BFind the points in which the tangent to the curve y=x3 has a slope m=3?T1=[1;1], T2=[−1;−1]T1=[1;−1], T2=[−1;1]T1=[−1;1], T2=[−1;−1]T1=[1;−1], T2=[−1;−1]
9000062410 Level: BFind the line perpendicular to the graph of the function f(x)=x3 at the point T=[−1;y0].x+3y+4=03x−y+2=03x+y−4=0x−3y−2=0
9000064101 Level: BFind the slope of the tangent to the graph of f(x)=x2+3x−2 at the point [1;2].−155−515