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   y = (4x3 + 3)2, (−1, 1)

Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

Q: What is the slope of the tangent line to the function: f (x) = In (2 x² + 2 x – 11) at the point…

A: To find the slope and equation of the tangent line to the function fx=ln2x2+2x-11 at point P(2,0).

Q: f(x)= (x+2)² (x - 1) f'(x) = 3x(x+2) %3D f"(x) = 6x +6 %3D

A:

Q: If f is a differentiable function, find an expression for the derivative of: 2f(x)

A: given that y=2f(x)exdifferentiatee on both side we apply division rulee here

Q: a) Select a point on the graph of y = -x + 2x³ + 13x² - 14x-24, where the roller coaster is going up…

A: f(x) = -x^4+2x^3+13x^2-14x-24Let's find the first derivative (f'(x)):f'(x) = -4x^3 + 6x^2 + 26 x -…

Q: -5 -4 -3 -2 -1 n y = دیار 2- 7 1 -2- -3- -4 2 3 4 10 5 Write an equation for the function graphed…

A: Given graph

Q: The point P(-12, -9) lies on the curve with equation y = x² + 15x + 27. a) The graph is translated…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the point on…

Q: During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s…

A:

Q: Determine the domain and range of y=1/x2-1

A: It is given that y=1x2-1 and we have to find the range and domain of the given function. For Domain…

Q: Solve for y. (y2-4)(y2-3)(y-2)=(x2-9)(x2-5)(x2-2) Then, find the points on the curve where x= sqrt…

A: we have to solve the equation (y2-4)(y2-3)(y-2)=(x2-9)(x2-5)(x2-2) for y  let x2=t this equation can…