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 - 3ĵ, at the point (π, -1). 3+x² b. f(x, y) = going directly away from the origin, at the point (4, -1). y² c. f(x, y) = -6x + 2y + 3 in the direction 30° counter-clockwise from the negative y-axis, at the point (-2,2).

Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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: 1. Determine the slope of the following functions. į. f(x) = 4x³ + 5x4 - 9x + 2 f(x) = sin(3x) - 5x³…

A: We determine the slope of the following functions.                          i. f(x) = 4x3 + 5x4 - 9x…

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

A:

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2.   We have to find the…

Q: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

A:

Q: 1 The line / is tangent to the curve y=1-- , where x0, at the point where x = a. Show that the…

A:

Q: for the function y cot V8- 22 dz dy The derivative

A: