Estimate the slope of the tangent line at the point indicated. f(x) = tanx; x = 0

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given curve:

Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: y = Vx+3 at x = 1

A: Given curve is y=x+3. To find the equation of the tangent line to given curve at point x=1.…

Q: Find the tangent line to g (x)

A: Given, g(x)=16x-4x

Q: Compute f ' (x) and find an equation of the tangent line to the graph at x = a. f(x) = 3√x,  a= 8

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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Q: Find an equation of the tangent line to the graph of the function at the given point , y = x2ex −…

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Q: Find the equation of the tangent line to y = x + tan (x) where x = TI.

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

Q: Find the equation of the tangent line to f at x = a. f (x) = x2 + x, a = 1

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Q: 2 Find the equation of the tangent line to the graph of f(x) = at The equation of the tangent line…

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Q: the

A: The given function is f(x)=x+1x-6at the point 0,-16 To find the equation of the tangent line the…

Q: Find the equation of the tangent line to the graph of f(x)=x^2cos(x) at x=0

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Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: f (x) = x² + Vx at the point where x = 1

A: We have to find equation of tangent line for the given function at the specified point: fx=x2+x at…

Q: Find an equation of the tangent line to the curve at the given point. y = x + sin(x), (T, 1)

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Q: Find the equation of the tangent line to the given function at z = a. w(2) = tan (3x) +x, a=0 3 !!

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Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: Find an equation of the tangent line to the graph of f at the given point. f(x) Vx, (81, 9) y =

A: Slope of the tangent is obtained by dy/dx

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ____

A: The detailed solution is given below Thank you

Q: Find an equation of the tangent line to the graph of fat the given point. f(x) X -

A:

Q: Estimate the slope of the tangent line to f(x)=tan(x) at the point x=5pi/4

A: f(x)=tan(x) at the point x=5pi/4

Q: Find an equation of the tangent line to the curve y = F(x) at the point with x-coordinate equal to…

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

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

Q: Determine the slope of the tangent line at t = 2

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Q: 2n 5) h(x) = tanx, x = 3

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Q: Find the equation for the tangent line to the curve  y = f(x) at the given x-value. f(x) = ex3 − 1…

A: To find the slope of the tangent at x=1 we have to find f'(1) So, slope = 3

Q: Determine the slope of the tangent line to the given curve at the specified point tan(x+y) = x;…

A: WE have to Determine the slope of the tangent line to the given curve at the specified point…

Q: Find the slope of the tangent line to the given curve at x = 3: f(x) = -V8x + 1 %3D

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Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = ex5 −…

A: The equation for the tangent line to the curve: (y - y1) = m(x - x1) m = f'(x)

Q: Find the point on the graph of f(x)=ex for which the tangent line to the graph there passes through…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: Estimate the slope of the tangent line to f(x) = tan(x) at the point x = 9(pi)/4

A: Given :f(x) = tan (x)To determine the slope of th tangent line to f(x) at x = 9π4

Q: Find the slope of the tangent line to f(x)=ex at the point (1, e).

A: Given,         The slope of the tangent line to fx=ex at the point 1,e.

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: Find all values of x where the tangent lines to y = x and y = x° are parallel.

A:

Q: Find all values of x at which the tangent line to the curve x + 7 is perpendicular to the line y =…

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Q: Find an equation of the tangent line to the given curve at the specified point. 2x y : X + 2' (2, 1)…

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Q: Provide the equation of the tangent line at the given curve at the specified point x^3+xy^2=5;…

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P =

A: Given equationy=sec(x)-2cos(x), P=π3,1To calculate the tangent line we have to calculate the slope…

Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

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

A: Consider the given function.

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

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Q: Find the point on the graph of f(x)=ex for which tangent line to the graph there passes through the…

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a. f (x) = x4, a = 2

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Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) =…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

A:

Q: Find an equation of the tangent line to y = f (x) at x = a.

A: The derivative of a function at a point gives the slope of the tangent to the curve at that point.…

Q: Find an equation for the tangent line to the following curve, h(x) = 16x – 2 In x at the point where…

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Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: