1. Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x2 + 4Vx.

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 for the tangent line to the curve y = f(x) at the given x-value. f(x) = (2x + 3)“…

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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 equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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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: Find an equation of the tangent line to the graph of f(x)

A: Given function ,         fx=3-Yxx+5at -1,1To find the slope , we differenntiate the function fx…

Q: Find f(x) if f(0) = 0 and the tangent line at (x, ƒ (x)) has the slope x(x² + 2}°.

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Q: Find an equation of the tangent line to the graph of f(x) f(x) = 1/√5x at x = 9.

A: Given equation of curve

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 an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: If ƒ(x) = e" + x, find the slope of the tangent line to f-'(x) at a = 1.

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Q: 1) Find the equation of the line tangent to the graph of f(x) = (x² + 1)(x³ + 1) at the point where…

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Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-2x+1 and f(2)=4, then what…

A: The slope of the tangent line to the graph of f(x) at x is m(x)=3x2-2x+1 and f(2)=4.

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

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Q: 1) Find the tangent slope to the curve f_((x))=1/ (2x-1) at x=1

A: Given : fx = 12x-1

Q: Find an equation for the tangent line to the graph of f(x) at x = 1.

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Q: Find the equation of the tangent line to the graph of f(x) = (1 – x) Væ at x = 4.

A: topic - equation of a tangent line

Q: If the slope of the tangent line to the graph of f(x) at x is m(x) = 3x<– 2x +1 and f(2)=3, then…

A: Given query is to find the value of f(-4).

Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

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: Find the equation of the tangent line to the graph of f(x)= 1 at the point (2,1). %3D X-1

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

A: Given: f(x)=2x

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: Find the equation of the tangent line to the graph of the function f(x) = x² +x – 1 at the point…

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Q: Find the equation of the tangent line of the graph of f(x) = x/2x + 6 at the point where x = 5.

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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.

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

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: The slope of the tangent line to the graph of f(x) = at a = 1 is: ¤ + x

A: Given:f(x) = xx + x

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: The slope of the tangent line for the function f(x) = x^4 – 3x^3 + x^2 – 2x + 8 at x = 1 is

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Q: If the slope of the tangent line to the graph of y-f(x) at x-a is m(a)=20+1, and f(1)-5, then what…

A: We have to find function

Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

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

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

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 the equation of the tangent line to the graph of f (x) = 2e- at x = 0.

A: A tangent is a line that just touches the curve at a particular point

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

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Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-x+1  and f(2)=4, then what…

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Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-2x+1 and f(2)=4, then what…

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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: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: Find the equation of the tangent line to  f(x) = x2 − 2x + 2  at  x = 5.

A: The given equation is fx=x2-2x+2.

Q: Find a formula for the tangent line to f(x) = x² – x at x = 0

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Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

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Q: Given that the graph of f(x) passes through the point (10, 8) and that the slope of its tangent line…

A: Solution )slop of tangent line                f'(x) = 2x + 5 Intregating both sides  ∫f'(x) =…

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−3) at the point…

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = (2x +…

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