3V5 – 10a2 + 6V f(r):

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

A: The given function is y=6ex, to find the equation of tangent at the point x0=0

Q: For the curve xy+ x²y – xy² = 1, use implicit differentiation to find the equations of the tangent…

A:

Q: The derivative with respect to X .2 y = x sin-'x + V1 – x²

A: Given:               y=x sin-1x+1-x2 Differentiate with respect to x           ddxy=ddxx sin-1x+1-x2…

Q: Find the value of the derivative of (z – 4i)8 at z = 3 + 4i |

A:

Q: Find the equation of the tangent line of the function at the given point. 3x+2 9. f(x) = x-1 (0,-2)…

A: Differentiate at given point and then use equation of tangent line

Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

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…

Q: Find the equation of the line that is tangent to the graph of the function f(x) = ln(8x + 6) at the…

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Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

A:

Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: Find an equation of the tangent line to the graph of the function at the given point. y = ln(x7/2);…

A:

Q: find the equation of the tangent line to 5x+5 at X=2

A: Given function is y=4x2-5x+5 at x=2 Substituting 2 for x in the given function, we get,…

Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

A:

Q: Find the equation of the tangent line to the function f(x)=−2x^3−3x^2−2x at the point (−1,1). Give…

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Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given f(x)=3x2-5x+7, x=2, x=4

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

A:

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.

Q: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

A:

Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: f (x) = x² + Vx at the point x = 1

A: Consider the given: fx=x2+xf1=12+1f1=1+1f1=2Find the derivative:f'x=2x+12xAt…

Q: (A) Find the equation of tangent and normal to the curve x2 – 2y² = –7 at (-1,–2). (B) Use the first…

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Q: Q4 Use implicit differentiation to find an equation of the tangent line to the following curve at…

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Q: 4. Find the equation of the tangent line to g(x) 8 at x = 3 |x²–1

A: The function is given by gx = 8x2-13 To evaluate: The equation of the tangent line to the graph of…

Q: b. Find the equation of tangent line to the curve of function f (x) at given point: y = In(x² – 4x +…

A: We have to find the slope of tangent first.

Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

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Q: Given f (x) = x³ + x² + x + 1 and its derivative f'(x) = 3x² + 2x + 1, find the equation of the…

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Q: Find the equation of the tangent line to f(x) = (x^2) − 4x + 1 at (x=3).

A: We first find f'(3) So the slope is 2

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Let f(x) = 3x^2 + x + 5. a) Find the equation of the tangent line at x = 10. b) For what value of x…

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Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

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Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: Find the equation of the tangent line at the given point. 1 f(x) = х, (-1,2) Vx2 3

A: We have to find the equation of the tangent line of  f(x) = 1x23-x  at (-1, 2).

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

A:

Q: Find an equation of the tangent line to the graph of the function                   y=2x2 + ln x2 ,…

A:

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

A: Given f(x)=4x²+7x-2 (a) to find the slope of tangent line at x=4 (b) to find the equation of tangent…

Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

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

Q: Use the definition of the derivative to prove that (vx +1) = tangent to the graph of y = vx + 1 at x…

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Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

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

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Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: 1. Given f(x) : x3 > find the equation of the tangent line when x = 2

A:

Q: Find the equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1…

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Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: find the slope to the tangent line x^2e^4x at the point (-1,e^-4)

A:

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: 2. Given f (x) = x² – 2x + 5, find the tangent line at x = 7

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

A:

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: