Q: how do you find the tangent line to the curve of f(x)= -6 square root x at x=4
A: We have given,
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A: Given f(x)=(1+2x2)(x-x2) By Product rule,…
Q: what is the slope of the tangent line to f(x)=5x3-6x2+2x-3 at x=1 ________________ (2x-1)3
A: The given function is f(x) = (5x3-6x2+2x-3)/(2x-1)3.Obtain the slope of the tangent line line is…
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A:
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A:
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A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…
Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).
A: We find f'(x) using the quotient rule.
Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…
A: Here first we find the slope using the formula m=f'0 Then equation of the tangent at point x = 0,…
Q: You are asked to find the equation of a horizontal tangent line to the curve y=3x3+2ex+2x. Use…
A:
Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-
A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).
Q: Find the equation of the tangent line to the graph of f(x) = 3x° + 4x² – x – 4 at x = – 1. y = help…
A: We first find f'(-1) to find the slope
Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)
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Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…
A: Slope of the tangent is obtained by dy/dx
Q: x-1 f(x) = x= 1 at (2₁²) x+1
A: The objective of the question is determine the slope of the line tangent.
Q: Find the points on the graph of f (x) = 12x − x3 where the tangent line is horizontal.
A: The slope of the tangent line to the function is given by f'(x) . According to sum rule of…
Q: Find Ax) if A1)--, and the tangent line at x has slope (3x- 1)e-*.
A: Let equation of tangent line is y=mx+c
Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x + 45x +324x +4
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Q: Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative…
A: Given,
Q: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…
A:
Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write
A: we have to find the slope of the line tangent to the graph of the function defined by f(x) = x2 –…
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Q: use 4 step process to find the slope of the tangent line to the graph of the given funcion at any…
A: Given, F(x) =x2 + 6x
Q: Find an equation of the tangent line to the graph at the given point .
A: Given function: fx=16xx2+16 ……1 To find: Tangent line equation at point -2, -85.
Q: 2) NOT use the short cut method). Use the result to find the slope of the tangent line at the point…
A: Topic:- Derivative
Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?
A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.
Q: what is the slope of the tangent line to f(x)=5x3-6x2-3 at x=1 ________________ (2x-1)3
A: Calculation:Consider the function f(x) =( 5x3 -6x2 -3) / (2x - 1)3.Obtain the slope of the tangent…
Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…
A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…
Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10
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Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…
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Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…
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Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1
A: Solution:
Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).
A:
Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?
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Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.
A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.
Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -
A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…
Q: What is the equation of the tangent live the When X = 4 √(x) = ² -6√x cheve f(x) = 3/
A: Given ::fx=8x-6xx=4
Q: X where tangent line is horizontal. f(x)=x3-4x2-9x+13
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Q: The slope of the tangent line to f(x) = 3x² – 1 at x = 2 is 12. true false
A: The solution of the problem is given in the next step.
Q: f (x) %3D х3 -Зх2- 2 3x2
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Q: The slope of the tangent line to the graph of the function y = 8Vx - 2 at (4, 14) is . O-3.50 O2…
A: We will find the derivative of the function y and evaluate it at x = 4 to find the slope of the…
Q: Find the tangent line to the equation: f(x) 3x2 + 2x-1, when x= 2 %3D
A: Using equation of tangent formula.
Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.
A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.
Q: f(x) =/4 –x ; (-5,3)
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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 7x² + 2x…
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Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched
A: f(x) = 4/x Slope of tangent = -1
Q: Find the equation of the tangent line to the graph of f(x) = 3x' + 4x – x – 4 at x = - 1. y = help…
A: Slope of the tangent line is the derivative of the given curve at the given point. So…
Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3
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- YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).Determine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.