If g(x) - xf(x), where (4) = 9 and f'(4) = -4, find an equation of the tangent line to the graph of g at the point where x 4.

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

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Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

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Q: Find the equations of the tangent lines to the graph of y = ln  x  at x = 1 and x = -1.

A: To find equation of tangent lines at x=1 and x=-1f(x)=lnx

Q: 4. Find the equation of the tangent line to the graph of g(x) = v2-x at x =-7 %3D

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Q: 4. Find the equation of the tangent line to the curve y = 5x– 6/x at the point (1, –1).

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Q: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given :          y=lnx3-7

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: | If In(x² – 3y) = x – y + 3 and y(-2) = 1, find y (-2) by implicit differentiation. y(-2) = An…

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

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Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: Find an equation of the tangent line to the graph of y = e at the point 2, y =

A: The given function is:y=e-x2The point is 2, 1e4

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

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: 2. Find the equation of the tangent line for the function 2 f(x) = x2 + - 3 at a = -2

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Q: Find an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: Find the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: 4. Find the equation of the tangent line to g(x) 8 at x = 3 |x²–1

A: The function is given by gx = 8x2-13 To evaluate: The equation of the tangent line to the graph of…

Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

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Q: The slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (3,3) is

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Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = sinh(25 –…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find an equation of the tangent line to the graph of the function                   y=2x2 + ln x2 ,…

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: f(x) = ln(x − 1) at x = 2

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the equation of the tangent line (in point-slope form) to . 2 f(x) = 3 – 2x' + In(5x + e) at x…

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Q: 2. Find the equation of the tangent line to y at x = -5.

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Q: At what point on the curve y = sinh x does the tangent line have a slope of 1?

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Q: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: Near x=0, the tangent line approximation gives 4e^(-4x) ≈

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Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x2 −…

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Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

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Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

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Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: 8) Using your derivative from the previous question, determine the equation of the tangent line at…

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Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

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Q: If 2x2 + 5x + xy = 4 and y(4) = -12, find y (4) by implicit differentiation. y (4) = Thus, an…

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