5) Determine the slope of the tangent line to the function with the given information: a. f(x,y) = sin(xy) in the direction 2î + ĵ, at the point (1, 7). 1+x b. f(x,y) = y2 going directly away from the origin, at the point (4, – 1). c. f(x,y) = 2x + 7y – 1 in the direction 30° counter-clockwise from the negative y-axis, at the point (-2, 2).

Q: Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

A: To Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

Q: Find the directional derivative of f at P in the direction of a. f(x, y) = tan-¹(²); P(-2,2); a=−10i…

A:

Q: Which of the following lines is perpendicular to the tangent line of y= х-3 at the point (2, –2) ? y…

A: We have to solve

Q: Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that…

A:

Q: Consider the function y=x6−2. Do the following steps: 1) Find the tangent line at x=1 2) Find the…

A:

Q: ) Let f(-4) = 3 and f'(-4) = 6. Then the equation of the tangent line to the graph of y = f(x) at x…

A: Given:

Q: d two coordinate points at which the tangent line to the curve given by x² – 2x + 4y² = 15 is…

A: if the tangent is vertical then dydx will be ∞x2-2x+4y2=15differentiate 2x-2+8ydydx=04ydydx=1-xsince…

Q: Find an equation of the tangent line to the curve y = at the point (1,). 8 + Vx Confirm this tangent…

A: