Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using t...
16. [10pts.) Find an equation of the tangent line to the curve y = 4x2 at the given point (1,1). Find the slope using the definition of the derivative: f'(x)= lim f(x+h)-f(x) h
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
f(a+h)-f(a) a. Use the definition mun lim to find the slope of the line tangent to the graph off at P. h-+0 h b. Determine an equation of the tangent line at P. f(x)-3x+7, P(2.1) a. man b.y=0 19
Find the slope of the line tangent to f(x) at x = 3. The graph of f(x) is shown below. Move the point on the curve to x = 3. Then plot two points on the tangent line. Finally, calculate the slope of the tangent line at x = 3. Answer 2 Points Keypad Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will...
(3 points) Find the slope of the tangent line to: a. the parabola y2 = 8c at the point (9,6); m = b. the ellipse 2? + $y? = 1 at the point (V14,1); m= -2sqrt(14) c. the hyperbola x² - y2 = 1 at the point (V3,V2). m
30 6 9 Compute the slope of the line tangent to the 36 Consider the upper half of the ellipsoid f(x,y) = and the point P on the level curve f(x,y) - level curve at P, and verify that the tangent line is orthogonal to the gradient at that point. 245 A. The slope is 5 OB. The slope is undefined, so the tangent line is vertical Verify that the tangent line is orthogonal to the gradient at P Select...
Find the equation of the tangent line to the parabola at the given point. y = -3x2, (-4,-48) y + 48 = -3x²(x + 4) X Read It Talk to a Tutor Need Help?
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
Find the equation of the tangent line to the curve at the given
point using implicit differentiation. Remember: equation of a line
can be found by y-y1=m(x-x1) where m is the slope of the line and
(x1,y1) is any point on the line.
Curve:
at (1,1)
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).