EXAMPLE 5 Find an equation of the tangent line to the parabola y = x2 - 4x + 6 at the point (1, 3). SOLUTION From the previous example, we know the derivative of f(x) = x2 – 4x + 6 at the number a is f'(a) = 2a - 4. Therefore the slope of the tangent line at (1, 3) is f'(1) = 2(1) – 4 = Thus an equation of the tangent line, shown in the figure, is y - (0)-O(--O) or y =

Q: Question 26 Find y' by implicit differentiation for 2y³+4x2 – y = x6 . - V 6x5 – 8x (A 6y2 – 1 6x+…

A:

Q: The tangent line to the graph of y = g(x) at the point (3, 6) passes through the point (1, 3). Find…

A: Please see the explanation below..

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution:

Q: find equation of tangent line to graph of each equation of prescribed point. x3 + y3 = y+21 at…

A: We have to find Equation of tangent line to given curve  at point (3,-2).Equation of curve is given…

Q: 2) Find the tangent equation for the function f(x) = x² + 5x at the point (1,4). *****: **********

A:

Q: A graph of y=f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: Note: If f(x) is decreasing, then the graph of f'(x) will be below the x-axis. If f(x) is…

Q: Question 2 $-3ar* +2pr² h(r) 4r

A:

Q: Find the equation of the tangent line of f(x) = 8/x+3 at the point (4, 19) . Express your answer in…

A: Find the equation of the tangent line of fx=8x+3 at the pint (4,19).

Q: It is estimated that 60% of emails are spam emails. Some software has been applied to filter these…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Question 1. Identify the correct description for the formula Su (s) \approx \dfrac{u(s+h)- 2 u(s) +…

A: Step:-1 Note:- Central finite difference formula for second derivative is f''x≈fx+h-2fx+fx-hh2 with…

Q: Find an equation of the tangent line to the curve at the given point. y=4x/(x+1)^2 y = ,    (0, 0)

A:

Q: Find an equation of the tangent line to the graph of y=9* at the point (-1,9). 01) y=9_(x+1) 9 9 ○…

A:

Q: 3) A researcher has collected population data along with time. Afler comparing the populations from…

A: Solution is given below

Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

A: