Given f(x)= 2x^2 - 3/4x^4 a) Find the value(s) of x where the slope of the curve f(x) is equal to zero.

Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: the tangent line  to the graph of y=lnx\x is perpendicular to the line x=7 at the point where?

A: The line x = 7 is perpendicular to x axis. Hence, it's slope is infinity. The tangent line that is…

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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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: Does any tangent line to the curve y = 2x cross the x-axis at x = -1? If so, find an equation for…

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

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Q: Find the slope and equation of tangent line y=4-x^3, (-1,5)

A: Consider the given equation: y=4-x3 The point where tangent has to be calculated is (-1,5)

Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…

A: yx = Height of the Gateway archyx = 210 - 20coshx30         Blue curve---------------------formulae…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: Can you please help me out

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Q: what is the slope of the tangent line to the curve 8x^3 - y^2 = 4 at the point (1,-2)

A: Given,

Q: What is the slope of the tangent line to the graph of y= x*- 3x2 + x+ 2 at x-2? What is the…

A: Given: The graph of y = x4 – 3x2 + x + 2.

Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: The slope of the tangent line to the curve y 4 at the point (4, 1) is: - The equation of this…

A: The slope of tangent to any curve is determined by the derivative . So, slope of the tangent…

Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

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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: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

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Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: 2. What is the slope of the line tangent to the curve 8x3 –- y² = 4 at the point (1,-2)?

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Q: Show that no tangent line to the graph of f (x) = tan x has zero slope. What is the least slope of a…

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Q: Find the equation of the tangent line to the curve y = xV13 – x² at the point (2,6).

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Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: Find the slope of the tangent line to the curve x – 4xy + y° = - 23 at the point (- 3, – 2).

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Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

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Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: 4 at the point ( 3, The slope of the tangent line to the curve y is:

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Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: Explain how to determine Partial derivatives for x-value ?

A: Partial derivatives :- Let z=fx,y be function of two independent variables x and y. If we keep y  as…

Q: Find the slope of tangent line for the equation x^2+y^2=5 on (1,2)

A: The given equation of the line is,

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show…

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Q: Use LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: f (x) = V7x at point…

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Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1