Differentiate the function and find the slope of the tangent line at the given value of the independent variable. s = 5t° - 1?, t=6 ..... s'(t) = The slope of the tangent line is at t = 6.

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A: We are given that f(x) = xx and x ​= e.

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A: Given: f(x)=2x-1 x=5 and x=10. (a) Determine the value of f(x)=2x-1 at x=5. f(x)=25-1=24=4…

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A: given xy2-y-2=0 to find the equation of tangent at x=1

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Q: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

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A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: Given:        k(x)=12+x,    x=2.

Q: Find the point(s) on the graph of y = (x2 – 168)e × where the tangent line is horizontal. Identify…

A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…

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Q: find the equation for the tangent line

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: at t=1x=ln(1)=0y=1+12=2tangent point (x1,y1)=(0,2)

Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

A: Given the parametric equations x-3 sin (t) and y=3 cos (t)First we will find the slope of the…

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Q: Q3. Find the equation of the tangent line of the curve y= sinz + cos z at the point A(-, V2).

A: The given curve is y=sin x+cos x and at the point is Aπ4, 2  To find the equation of the tangent the…

Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: s'(t)=9·3t2-8·2t=27t2-16t

Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

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A: This question can be solved by applying the given formula with limit h approaches 0

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

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A: Given,          fx=2x+1 ; P0,1

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A: We will find the equation of tangent line.

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A: The first derivative of the function f(x) is called as the slope by putting x coordinate of the…

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

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Q: Find an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x)=6sinx at…

A: y = f(x) = 6sinx We have to find the equations of the tangent line and normal lines to the function…

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Q: Find the slope of the tangent line to the graph of the function at the given point. 11 f(x) at(1, )…

A: given fx=118x

Q: 4) Determine f(x) = co the point where the slope of the tangent is 0 for the function 0<x< 2π

A: The derivative of a function has a wide application. The most important application of differential…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: Find an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

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Q: Find the slope of the tangent line for the curve r=sin⁡2θ at the point where θ=π/4.

A: Given,

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Q: 2 at the point where x=- Find the slope of the tangent to the curve f(x) = 4 The slope of the…

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