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A: SOLUTION-
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A: general equation of line is: y = m(x) + c where, m = slope of line and, c = constant
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Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0
A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.
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Q: Find the equation of the tangent line to the graph of f(x) = (3x – x²)(3 – x - x²) at x = 1. y =
A: Topic:- Coordinate Geometry Equation of tangent is y+5x=7
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- Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the equation f′(x) = (y0 − y)/(x0 − x) f(x) = 2/x (x0, y0) = (5, 0)The points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in the domain of [0,2π].f(x) = tan(x), (-3π/4, 1) Find an equation of the tangent line to the graph of f at the given point.
- Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the equation. f′(x) = (y0 − y)/(x0 − x) f(x) = √x, (x0, y0) = (−4, 0)Find the equations of the tangent line and normal lines to the graph of the function f(x)=−2sin x at x=π/2 a) Tangent line: ? b) Normal line?a) Use the 4-step process to find the slope of a tangent line to the graph of the function f(x) = -x2 + 3x at any point. b) Find the slope of the tangent line to the graph of the function f(x) = -3x + 4 at (-1, 7), and determine the equation of the tangent line.
- A derivative formulaa. Use the definition of the derivative to determined/dx(ax2 + bx + c), where a, b, and c are constants.b. Let ƒ(x) = 4x2 - 3x + 10 and use part (a) to find ƒ′(x).c. Use part (b) to find ƒ′(1).Find an equation of the tangent line to the graph of the function at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results. f(x) = sin 2x ln x2 , (1, 0)Find an equation of the tangent line to the graph of f at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results. f(x) = x − 1/x , (1, 0)