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Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

A: Rtyu

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…

A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

Q: Find an equation for the line tangent to the graph of f at (2,15), where f is given by…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. y =…

A: The given equation of the graph is, y=x4-2x2+1 The slope of the tangent to the curve is the first…

Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2…

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: f (x) = v25 – x² at the point where x 4 -

A: Let:          fx=yy=25-x2 at x = 4,        y=25-42  =25-16  =9  =3 To find the equation of the…

Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

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Q: Find an equation of the tangent line to the graph of y = f 1 (x) at x = 3, where f(x) = x 4.

A: Given: f(x)=x4 at x=3  To find the tangent line of the given function at x=3

Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

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

A: The standard form of the tangent of the function helps to find the required equation of tangent.…

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.

A: Slope at x=a is f'(a) Point slope formy-f(a)= f'(a)(x-a)

Q: Find the equation of the tangent line to the graph of the function g(x)=2x-1/3x+1 at x=0.

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Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

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Q: 5x f(x)= x²-2

A: We have to find the equation of tangent line of the given function. So first of all we will find…

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

A: Our Aim is to find an equation of the tangent line to the graph of the function f(x)=e-x-6-(i) at…

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

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Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

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Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

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

A: Given function :                   f(x)=1x2-2x+9   At the point :  (2, 13)   To determine:…

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

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

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Q: Find an equation of the tangent line to the graph of the function fCx) = 2e3x+1 where X= o

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Q: Suppose that f(x)=4x(1−5x)^4 Find an equation for the tangent line to the graph of ff at x=2

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

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

Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: Find the equation of the tangent line to the graph of 4x – 7 f(x) at the point at which x = 0. x + 1

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Q: Find the equation of the tangent line to the function f(x) = –3x² form y - 2x at the point where x…

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Q: Find an equation of the tangent line to the graph of f (x) = - at the point (1,2).

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Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

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 the equation of the tangent line to the graph of the given function at the given value of x.…

A:

Q: For what values of x is the tangent line of the graph of f(x) : 10x + 45x? – 122x parallel to the…

A: Take the derivative of f(x) and equate to the slope of the given equation of line.

Q: find an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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Q: Find an equation for the line tangent to the graph of f at (2, 28), where f is given by f(x) = 5x³ –…

A: Given function is fx=5x3-5x2+8. To find an equation of tangent line to the graph at point 2,28.…

Q: Find an equation for the tangent line to the graph of the given function at (5,18). f(x) = x² – 7

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Q: What is the equation of the tangent line at 3x+1 0₁ = 1² of f(x) = ² 0, 2 X-2

A: The equation of tangent is :

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

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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 an equation of the tangent line to the graph of the function at the given p h(x) = (x2 – 2)(x –…

A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = lnx4…

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Q: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

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 of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

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Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

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