Question 14 of 18 Find the equation of the tangent line to the graph of g(x) = f'(x) at x =-1 when f(x) = 5x3 +2x2 2x (Express numbers in exact form. Use symbolic notation and fractions where needed. Express equation in terms of y and x, where y is the dependent variable and x is the independent variable.) equation

Q: 8. y = In(x²) ; (1,0)

A: From the given problem:   y=lnx2 ; p1,0   The expression for the slope of the tangent line to the…

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Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87). (b)…

A: a) The slope of the tangent is the derivative of the function, dy/dx. m=dy/dx

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

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Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

A: Given, f(x)=sin 2x ln x2; (1,0)

Q: The point (1,2) is on the curve y=f (x), and at any point (x,y) on the curve the tangent line has a…

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Q: solve all conected Question 3: Find the equation of the tangent line to the curve at the given…

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Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

A: Given: The function y=cos3x and the point π4, -22, To determine: The equation of the tangent to the…

Q: In the given qustion, (a) find an equation of the tangent line to the graph of the function at the…

A: Consider the given information y=lnx23 We have to find the equation of the slope at P-1, 0 (A) Slope…

Q: Question 1: Verify that the point 4 ' ,- ) is on the curve x Sin2y = y cos 2x . Use implicit…

A: We have curve xsin2y = ycos2x and point π4, π2If this point is on the given curve, then it will…

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: 4 cos z at the point (5,2). The Find the equation of the tangent line to the curve y = 2 sec z…

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

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Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

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Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: Question 29 1 Point 7. Find the tangent line to f (x ) = 7' + 4 e* at x = 0. A -5 - 5.9459 x 5 –…

A: This is coordinate geometry problem

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (3,/7) at the point…

A: To determine the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: Question 1. Identify the correct description for the formula Su (s) \approx \dfrac{u(s+h)- 2 u(s) +…

A: Step:-1 Note:- Central finite difference formula for second derivative is f''x≈fx+h-2fx+fx-hh2 with…

Q: 10 The point (1,f(1)) lies on the curve f (x) 5-3x a) If Q is the point (x, ƒ(x))find the slope of a…

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Q: Question 2. exponential curve (o. 1). Prove that the straight liney - 3-2r intersects the at a point…

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Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

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

A: Given : The equation of the curve is  x=cost+cos2t y=sint+sin2t To Find : Find the equation of the…

Q: Find an equation for the line tangent to the following curve at the point (2, 1). 1 – y = sin (x + y…

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Q: e standard (slope-intercept form) equation of the tangent line to the following equations at the…

A: Given,     g(x) =x+9     at  x=0

Q: Question 8 Use implicit differentiation to find the specified derivative at the given point. Find at…

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Q: 5. (10 pts.) Determine the equation of the tangent line to y = tan" form at x =-1. Write the answer…

A: Solve by slope intercept form

Q: (:) 1 Find the equation of the tangent line to the curve f(x) : at the point x+1 Write equation in…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following equations at…

A: Derivative of the function helps to find the slope-intercept form of the tangent. Differentiation…

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

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

Q: 3x (0, 1)

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Q: 3 Find the equation of the tangent line to the curve y = 6 sin x at the point 6 The equation of this…

A: Given Data: Curve: y=6sinx Point: x1, y1=π6, 3 The first derivative of the curve with respect to x…

Q: 5.(10) Find an equation of the line that is tangent to the graph of y = 2x + tan 3x at the point…

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Q: QUESTION 30 · 0/1 POINTS Find the derivative of y = (2-)". That's not right. -2e*In(2-x)x + e* In(2…

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Q: 12 Find the derivative of f (y) = 5 tan (y) – Enclose arguments of functions, numerators, and…

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Q: QUESTION 6 Find the derivative. 10 y= +6 sec x Oy'= 10 +6 tan?x O y'= - 1 - 6 cscx Cy = +6 sec x tan…

A: We can use the derivatives in order to solve the given problem

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7/E) at the point…

A: The equation of line that passes through the point x1 , y1 and have a slope of m is defined by the…

Q: [Question 2] Use implicit differentiation to find at the point (2.2), on the curve x3+v² = 16…

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Q: Question 1 Suppose f (x) = x² + 2x + 1 and P = (-3, 4). a) Find the derivative of f (x) at the point…

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Q: Question 1. Use the Second Derivative Test to find Maxima and Minima for the given function. y = x +…

A: 1. y=x3+6x2-15x+2 The first derivative of the given equation with respect to x is,…

Q: Give the equation of the tangent line to the graph of the given below at the point where x= 2π

A: Givne that: y=cot-1x2π3sinx

Q: Question 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2…

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Q: At any point (x, y) on a particular curve the tangent line has a slope equal to 3x2 – x – 1. If the…

A: Solve for the equation

Q: (5,2). Find the equation of the tangent line to the curve y = 2 sec x 4 cos x at the point The…

A: Given:     y = 2 sec x  - 4 cosx      Point : ( π/3 , 2)

Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the…

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the…

Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…