Let f(x) = 5x'+5x+ 1. Find the equation of the line tangent to the graph of y = f(x) at the point (3, 181). The equation of the tangent line is y=

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A: Given that the first derivative of the function is  y'=(8x-5x2)(4-x)2

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A: Given data:     The given expression for the function is: y=2x+1. The given point is: (x1,y1)=(7,3).…

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Q: Find the equation of the tangent line to the function f(x)=−3x2−2x at the point where x=1. Give your…

A: Here we find the equation of tangent line of the function fx=-3x2-2xat x =1

Q: The method of u-substitution is the integral analog of the chain rule of derivatives and the method…

A: Let say we have two functions f(x) & g(x)Now combine the function f(g(x))Hence, the derivative…

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O…

A: The curve is given by,

Q: Find the equation of the tangent line to the given function at the given value. y = 4x3 + x at x =…

A: Given the equation of the function y=4x3+x At x=-1 the value of y on the given curve is…

Q: Determine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent…

A: Our aim is to determine the coordinates of the points on the graph off(x)=5x3-2x2 where the tangent…

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A: Given,f(x) = In (sin(x))To find prependicular distance between,tangent line to f(x) at slope = 3 (0…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

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Q: Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3x using First…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

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Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: 6. Find the tangent line and normal line to curve y = x3 - 3x2 - 2 at point (1, -4)?

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Q: Find the tangent lines. To the cubic y=x³-2x+3 parallel to the line 10x-y=3

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: Qa/ Explain the rule of maximum and minimum using Derivatives with an example?

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Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x) = 2x − x2 We need to find the equation of two tangent lines to the graph of f that passes…

Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

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Q: Find the equation of the tangent line to the graph of the function f(x)=4x3+5−−−−−−√ at the point…

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Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…

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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: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

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Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0아 1.5 5. 1.0 0.5 0.5…

A: For slope  of  the curve differentiate w.r.t.x   dydx=ddx1x=-1x2   dydx5/6,6/5=-1x25/6,6/5=m…

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given function is fx=4x-x2

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Q: 4) Use the Chain Rule instead of the Quotient Rule. 4 Find the derivative y= 2x +1

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Q: x2/3 - y2/3 -y=1 ;(1, -1)

A: firstly we find the slope(m) by differentiate w.r.t. x  and then put the slope in equation of tanget…

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: How do you use Implicit differentiation find x^2+2xy−y^2+x=2 and to find an equation of the tangent…

A: The given equation is, x2+2xy-y2+x=2. Differentiate the given function with respect to x.…

Q: Find the critical points of the function f(x,y) = x^4 + y^4 - 196xy and use the Second Derivative…

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Q: the equation of the line tangent to the curve y ^ 2 * ln(x) + x ^ 2 * y = 3 at the point (1, 3) .…

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Q: ential equation is given by

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Q: Find the first derivative by increment method. Show your complete solution V7x – 12 Upload your…

A: The given function is 7x-12

Q: Find the equation of the tangent line to the curve y = x³ – 4x + 3 at the point (3, 18). Tangent…

A: Answer and explanation is given below...

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: Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

A: The given function is: f(x)=(x)(1-2x)3 And, at point (1,-1), we have to find the equation of the…

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

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Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

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