(f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

Q: 1) Find an equation of the tangent line to the curve at (1,1). y = cos (In x²) %D

A: Given. Curve is  Y = cos(ln X²) We need to find the equation of the line which is tangent to the…

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…

Q: 8. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line…

A: The given graph is y = (x +3)2 To find the points on the graph at which tangent is parallel to the…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the equation of the line tangent to the graph of f(x) = 4 sin(x) at a = T.

A: Given,          fx=4sinx at x=π.

Q: Find the derivative of the following functions/parametric equations: = x y²+2

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Q: (b) Find the equation of the tangent line to the graph of the equation sin-"(x + y) = ;r² 2 at the…

A: Topic = Derivative

Q: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: Find an equation of the tangent line to the graph of the function f defined by the given equation at…

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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Q: Find the equation of the tangent line to the curve y = 6x cos x at the point (7, The equation of…

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

A:

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

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Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

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Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy 2(x - 1)…

A: Given: dydx=2x-1

Q: Find the equation of the tangent line to the curve y = 2 + 3 cos x if the tangent line is parallel…

A: We have to find the tangent line to the curve .

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Find an equation of the tangent to the curve at the given point. cos(t) + cos(2t), y = sin(t) +…

A: We need to find tangent.

Q: 1. Given the equation of tangent to the curve y = x³ - x² – 7x + 10 at the point (a, b) is y = 5x +…

A: We know that the equation of the straight line that passes through the point (x0, y0) with finite…

Q: Find the equation of the tangent to the curve y = cos 2x at the point where x = kko

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Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

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

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

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Q: What is the equation of the line tangent to the curve e + cos(x) =1 at the point.0 A y=x+ B y=0 y=x-

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Q: Find the derivative y′(x) of the function that describes the general equation of a second order…

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: Find an equation of the tangent line to the curve at the point (1, 1/e)   y = x3e−x

A: Given query is to find the equation of tangent line to the curve   y = x3e-x

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

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Q: 4x Find the equation of the line tangent to y = e at x =- In 5.

A: Problem related to application of derivative

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

Q: (b) Find the equation of the tangent line to the graph of the equation sin-"(x + y) = 5* 2 at the…

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Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

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Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) evI dy at x = 0. sech my

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Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx 2x - 1 y =…

A: To solve the following differential equationdydx=2x-1and point (1, 2)  is at the given curve

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: dy dz a ) e-π7z In(y) = x²z

A: Detailed solution is given below.

Q: Q3) Find the equation of tangent line to the curve y/sin(x) +y²=2 at the point (,1).

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Q: The f '(x) of the given curve is equal to -4 y = sin 3x ||

A: