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## Related Calculus Q&A

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Q: Find an equation for the line tangent to the graph of f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Consider the given function as y=5x1+x2

Q: 11. For the given function, find the value of x on the graph where the tangent line is horizontal. y…

A: Writing the equation in standard form.

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

Q: For the following functions and values of a, find ƒ′(a).b. Determine an equation of the line tangent…

A: Given, f(x)=4x2+2x;a=-2

Q: please help

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Q: Given that f(-8) = 2 and f '(-8) = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find an equation for the line tangent to the graph of f(x)=−2xe^x at the point (a,f(a)) for a=2.…

A: Find the derivative for f (x). Find f’(x) at x = 2.

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: To determine the slope and equation of tangent line to the graph.

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: (a)Given

Q: 1. For the function f(x) = 3x² + 7x – 2, (a). Find the slope of the tangent line at x = 4. (b). Find…

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Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

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Q: Find the equation, in slope-intercept form, of the tangent line to the graph of f(x)=e^2x-3 at the…

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Q: For the function f(x) = 2x²: Find the slope of the tangent line to the curve at the point (1, 2): m…

A: The given function is fx=2x2. Obtain the derivative of fx=2x2: dydx=4x Substitute x,y=1,2 in…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we will find the slope and equation of tangent

Q: Given that f(2) = -5 and f'(2) = 3, find an equation for the tangent line to the graph of y = f(x)…

A: we have to find equation of tangent line

Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: For f(x)=1/4+x2, the slope of the graph of y=f(x) is known to be − 2/25 at the point with…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

A: Click to see the answer

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

A: Click to see the answer

Q: Find the point(s) at which the slope of the tangent line is equal to 21. And find the equation of…

A: Click to see the answer

Q: (a). For the function in this problem, find the slope of the tangent line at the given value.…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the point(s) at which the slope of the tangent line is equal to 21. And find the equation of…

A: First we differenciate given function and put equal to slope 21 from there we get value of x and…

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: For the following functions and values of a, find ƒ′(a).b. Determine an equation of the line tangent…

A: Consider the given function fx=8x Now, differentiate the function fx with respect to x…

Q: If g(x) =x4-2 find g'(1) and use it to find an equation of the tangent line to the curve y= x4-2 at…

A: Derivative: g(x)=x4-2 The eq of the tangent at (x1,y1) is y-y1=dgdx(x1,y1)(x-x1)

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

A: Click to see the answer

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Click to see the answer

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

A: Click to see the answer

Q: For f(x)= 1 / 17+x2, the slope of the graph of y=f(x) is known to be −3 / 128 at the point…

A: Click to see the answer

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: Given:f(x)=x2x+7 at (1,16)

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex3 −…

A: We have been given a function g(x) and we need to find the equation of tangent line to the graph of…

Q: Find f′(x) and find the equation of the line tangent to the graph of f at the indicated value of x=1…

A: Click to see the answer

Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: Given that f(2)=−3 and f′(2)=6, find an equation for the tangent line to the graph of y=f(x) at x=2.

A: For the function y=f(x), slope of the tangent at any point (a, f(a)) is given by mT=f'(x) at (a,…

Q: Given f(x)=2x^3 +8x^2-x-4 Find the equation of the tangent line to the graph of f(x) at (-1,3)

A: f(x)=2x3+8x2-x-4 Differentiating with respective x f'(x)=2(3x2)+8(2x)-1=6x2+16x-1 Slope of f(x) at…

Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

A: Click to see the answer

Q: Given that the graph of f(x) passes through the point (2,8) and that the slope of its tangent line…

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: We have to find

Q: The function f is given by f(x) =-2 – ;e™.What is the equation of the line tangent to the graph of f…

A: Click to see the answer

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: a) f(x)=3x2-12x+1 at the point (0,1)b) f(x)=2x2-4x+5 at the point (-1,11)

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

A: The equation of the tangent line to the curve f(x) at a point (x1, y1) is given by:

Q: For what values of x is the tangent line of the graph of f(x) = 4x³ – 30x² + 73x parallel to the…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: Click to see the answer