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- Find the slope of the line tangent to the curve x + sin(y+π) = 2x3 + ey at the point (-1,0). Show work.Find all x-coordinates of points (x,y) on the curve y=(x−2)4(x−5)-3 where the tangent line is horizontal.Find an equation of the tangent line to the curve y=4^x at the point (1,4) Tangent line: y=
- Find equations of the tangent lines to the curve y=5ln(x)/x at the points (1,0) and e,5/e)The slope of the tangent line to the curve y - f(x) isperpendicular to the line3x-2y -S . The slope of thetangent line isA. 3B. -2C. 3/2D. -2/3How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points do these tangent lines touch the curve? Smaller x-value (x,y): Larger x-value (x,y):