Graph the equation and its tangent.
a) Graph y = x3 - 4 and the tangent to the curve at the point whose x-coordinate is 0 and the tangent line to the curve at the point whose x-coordinate is 0.
b) What is the equation of the tangent line at x = 0 in slope-intercept form (i.e. y = mx+b)?
The graph of y = -3x3 + 8 and the tangent to the curve at x = 2.5 is Calculate the value of the slope of the curve (correct to 2 decimal places) at the point whose x-coordinate is x = 2.5 The value of the slope at x = 2.5 is: _______ (2 decimals if necessary).
The equation of this Find the equation of the tangent Line to the curve y = 6 tan z at the point (536). tangent line can be written in the form y = mx + b where mis: and where bis:
2 The slope of the tangent line to the curve y = at the point (8, is: 1 32 The equation of this tangent line can be written in the form y = mx + b where: m is: bis:
Consider the following function. f(x) = -½x2 – 3x + 1 Find the slope and an equation of the tangent line to the graph of the function at the point (-2,5). Slope: m= Equation: y = (Enter equation in slope-intercept form, i.e.y = mx + b)
Find the equation of the line that is tangent to the curve y = 4x cos x at the point (π,-4π) The equation of this tangent line can be written in the form y = mx + b where m = _______ and b = _______
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
7. Find an equation of the tangent line to the graph of f(x) = x2 - 2x at (-2,8). Write your answer in the y = mx + b form. (12 points)
Find the equation of the tangent line to the curve y = 2x cos z at the point (TT, - 2). The equation of this tangent line can be written in the form y = mx + b where m = and b=
Find the equation of the line tangent to the graph of f(x) (In x) atx = 5 (Type your answer in slope-intercept form. Do not round until the final answer. Then round to two decimal places as needed.)
Find the equation of the tangent line to the curve y = 6 sinx at the point (π/6, 3). The equation of this tangent line can be written in the form y = mx + b where m = _______ and b =