5. Find an equation of the tangent line to the graph of f(x) = In (2x + 1) – e* at the point where x = 0.

Q: 7. Find the equation of the tangent line to the graph of the function 4xy + 5 In y = 28 at the point…

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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

A: To find the slope we find y' at x=0, y=0

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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

A: Equation of the line to the curve at the given point is shown below.

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

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Q: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

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Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: 7. Find the equation of the tangent line (in the form y = mr+b) for the function f(x) = In(x-3)+6V…

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Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = ln(x7/2);…

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Q: Find an equation of the tangent line to the graph of y = In(x2) at the point (3, In(9)). %3D *+2 ln…

A: y-y1=dydxx-x1

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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Q: Find an equation of the tangent line to the graph of the function at the given point f(x) = e−x ln…

A: we have to find the equation of the tangent line of the given function at the point (1,0)…

Q: The equation of the tangent line to the graph of f(x) = vx+1 At the indicated point (3,2) is:…

A: The given function is fx=x+1. Evaluate the slope of the function at the point (3, 2) as follows.…

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A: We will find all the points on the curve at which the tangent line is horizontal using calculus as…

Q: Find an equation of the tangent line to the graph of the function at the given point.

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Q: 6) Find an equation of the tangent line to the graph of f (x) = 4 ln z at the point (1, 0).

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Q: Find the equation of the tangent line of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

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Q: b. Find the equation of tangent line to the curve of function f (x) at given point: y = In(x² – 4x +…

A: We have to find the slope of tangent first.

Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

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Q: 4. Find the equation of the tangent line to the graph of x3-3xy+ y2 +19 =0 at the point in the…

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Q: 8) Find the equation of the tangent line to the graph of g(x) x3 7 at x = 2. -

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Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

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Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

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Q: Find the equation of the tangent line to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

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Q: f(x) = ln(x − 1) at x = 2

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Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

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Q: 6. Find the equation of the tangent line to f(x)= = tan (2x) at the point (n/8, 1).

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Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: The equation of the tangent line to the graph of e+√√2 cos x-2=0 at x = 45 is

A: Given ey+2cosx-2=0 at x=45To find equation of tangent line.

Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f(x) = Inx*…

A: We have to find out the equation of tangent line

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

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Q: 1. Find the equation of the tangent line to the graph of f (x) = x²e-* at x = 1. %3D

A: The given function is: fx=x2e-x In order to find the slope of the given function, find the…

Q: 12. Find the equation of the tangent line to the given function at the point (0,1). f(x) = In(3xe¬x)

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: 1. Find the equation of the tangent line to y e* at x = 0. = - x²+1

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Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

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Q: 12. Find the equation of the tangent line to f (x) = x³ at the point P(1,1).

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Q: 7) Find the equation of the tangent line to the graph of f(x) = –sin(x) +3 at x = 4

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

A: Given: f(x)=e-xln(x)

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: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: The equation of the tangent line for the graph of Fx)= | Ln(P+4)dt at x=2 is F(x)=

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Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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Q: 1. Find the equation of the tangent line to the graph of f(x) = x?e-* at x = 1.

A: