Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the point

Q: Q5: Does any tangent to the curve y vx cross the x-axis at x--1 If so, find an equation for the line…

A: It is required to find if any tangent to the curve y=x cross the x-axis at x=-1. First find the…

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Suppose that the line 2x + 3y = 5 is a tangent to the curve y = f (x) at x = 1. The value of f ‘(1)…

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.

A: The derivative of a function at a point represents the slopeof tangent at that point .

Q: Find the equation of the line which is tangent to the granh of y .3r2 2r + 4 at tho

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Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: The equation of the tangent line to f(x) = 5x2 + 7 at x = 0 is a y = 5x + 7 b y = 7 y = 2x + 14 O d…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: Curve y = 2x3-3x2-12x+20 To find the points on the curve y where tangent is   Perpendicular to the…

Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

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Q: S(r) = 2r2 +3r+2 What is the y-intercept of the tangent line that intersects the function at I= 2?

A: f(x)=2x2+3x+2

Q: f(x) = x², with 0 < x < 6

A: Length of the curve y=f(x)  from   x=a to x=b   is give by  L=∫ab1+dydx2 dx

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: For the curve y=ax^3+bx^2+12x-7, what values of a and b will make the tangent to the curve at x=2…

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Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: What is the equation of the Tangent Line to the curve y = 3 x - 4 x at x = - 1? A) 11x - y = 18 B 11…

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Q: Find the equation of the tangent line to the graph of the function f(z) = V6z4 + 10 at the point (1,…

A: Given: fx=6x4+10 To Find: Find the equation of the tangent line to the graph of the function fx at…

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

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Determine the value of a, given that the line ax+y+1 = 0 is tangent to the graph of y= ax-6x+1 at x…

A: Given  y=ax2-6x+1find derivativey'=ddx(ax2-6x+1)y'=2ax-6+0y'=2ax-6at x = 1y'=2a(1)-6y'=2a-6

Q: For the curve y = ax3 + bx2 + 12x -7, what values of a and b will make the tangents to the curve at…

A: given  y=ax3+bx2+12x-7a=?b=?

Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

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Q: Find the point at which the tangent to the curve y = v V4x2 +1– 2 | has its slop 2

A:

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: At the point where x = 0, the tangent to f(x) =e* +px+q has equation y = 5x-7. Find p and q. %3D

A: slope of tangent to curve f(x) is f'(x)

Q: Show that, for any cubic function of the form y = ax + bx² + cx + d, %3D there is a single point of…

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Q: The equation of the tangent to the curve f(x)=x3−6 which is parallel to −2y+54x−3=0 is...

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True…

A: The given function is f(x,y)=1+x2+y21-x2-y2

Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: The value of b makes the liney = 2x + b be tangent to the function f (x) = x² is

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Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

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Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: Find the equation of the tangent to the graph of f(x) = (x² + 28)^/ at x = 2. 8. 96 A y=Dx+ 8. y= 8…

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Q: 3 f(x) = x2, with 0 < x < 1

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Q: f(x) = + 2x' with 1 < x< 2

A: Given: fx=x36+12x with 1≤x≤2

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: For what value or values of the constant k will the curve y = x3 + kx2 + 3x - 4 have exactly one…

A: Given curve is y=x3+kx2+3x-4. A curve have exactly one horizontal tangent  at x=a if f'a=0.…

Q: Q4:a) find the equation of the tangent and normal line to the curve y = 10 - at point (6,4). ? 7-x…

A: (a) Given curve y2=10-67-x  The equation of tangent to the curve at point x1, y1, y-y1=dydxx1,y1x-x1…

Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is:…

A:

Q: The abscissa of the function y x^3 + bx ^2+ cx - 1 is x= 1 point is the inflection point. Since the…

A: Given that, The abscissa of the function y = x3 + bx2 + cx -1 is x = 1 point is the inflection…

Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: Q2)B/ Find the points on the curves y(X) given by y = x - 6x? + x+3 where the tangents are parallel…

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