a) Find an equation of the tangent line to the curve. y=f(x)3x2-4x at x = 2. b) Find the derivative of the following functions i. f(x) =D 군+x+ Vx ii. f(x) = **-2x+1 Vx iii. f(x) = x³ Vx + 10x6 2.

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

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

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Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

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Q: Use the definition of the derivative to find the equation of the tangent line to the graph of…

A: Identify the slope of the given line 6x+3y=4           The slope is identified to be m=-2.   The…

Q: 2. Find the equation of the tangent line to the curve y = x² – 2x - 3 that is parallel to the line x…

A: Given: The tangent line to the curve y=x2-2x-3 is parallel to the line x+y=1. To Find: The equation…

Q: Find the equation of the tangent line to the function f(x)=x3−2x2−3x at the point (1,−4)

A:

Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

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Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

A:

Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

Q: Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

A:

Q: Find the equation of the tangent line to f(x)=xe2x-2 + 3 at the point (1,4).

A: Slope of a tangent of a function at a point is equal to the value of the derivative at that point.To…

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

A:

Q: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

A:

Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

A: Equation of the tangent line to the curve   8xy+y2-x2+38x=217..............(1) at (3,4)

Q: Find the equation of the tangent line at the given point on the curve 3x+3y2 -9yY 10,3) 2-327x/10,…

A:

Q: find the slope of the tangent line to the curve X2-4X3y2=-2 at the point (1,1)

A: The given curve is,

Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

Q: Find the equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

A: Given: x2 + y2 = 25; (-3, 4)

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

A:

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

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

A:

Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y

A: Given ex2-y=x2y To find equation of tangent at the point 4,16

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

Q: 3. If f(x) = 5x - 8x, find the equation of the tangent line to the curve at the point where x= 2.

A:

Q: Find the derivative of the function. y = 2 sin4(4x2)

A: y = 2 sin4(4x2) dy/dx = ?   Useful formulas:ddx xn = nxn-1ddxsin(x) = cosx

Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: Find the equation of the tangent line at the given point: 5x² – 2xy + y² = 13 at (1, -2)

A: Given,                            .......(1) Point (1,-2)

Q: Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where, m is the…

Q: Find the equation of the tangent line at the given point on the curve. 109y2e 327x/10. (10,3) , 3x2…

A: Given,

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

A:

Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: Find an equation of the tangent line to the graph of x° + 3xy² + y = 15 at the point (1, 2). y=

A:

Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

A:

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

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Q: Find the exact equation of the tangent line to the curve f (x) = x³ + 3x +4 at x = 2.

A:

Q: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 2, (1, 3) y = 6x²…

A:

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

A: