Equation of a Tangent Line Find an equation of the tangent line to the graph off (x) = x 2 at x = 5.

Q: Using logarithmic differentiation find the gradient of the tangent to the curve represented by the…

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Q: Derivative of (x-4)2. The exact process of how to get this derivative.

A: Use the chain rule and power rule of derivative.

Q: Function Point f(x) = tan? x (a) Find an equation of the tangent line to the graph of the function…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given that a function.  And we have to find the slope at given point..  So for slope we have…

Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to…

A: To find: The equation of the tangent line, the standard equation of tangent line. Given: The…

Q: Second-order derivatives Find the second derivative of y = csc x.

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Q: using implicit differentiation. dx Consider the curve y° + y + 3x = 5. Find the derivative da Using…

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Q: the slope of the graph of y = f(x) is known to be 16 at the point with x-coordinate 2. Find the…

A: Equation of given curve is

Q: Find an equation of the tangent line to the graph of f(x) = e*, where x= - 0.1. The equation of the…

A: The given function is fx=ex. At x=-0.1,   f-0.1=e-0.1. Its derivative is f'x=ex. At x=-0.1,…

Q: Derivative of the Square Root Function i) Find the derivative of for y = Vx for x > 0. ii) Find the…

A: We have to find the derivative of the given function.

Q: Formula for slope: f(x + h) – f(x) m = lim h→0 h 1. Given the function: f(x) = x² + 2x + 1 where x =…

A: The given function f(x)=x2+2x+1 , x=3m=limh→0f(x+h)-f(x)h

Q: This is a problem about average velocity.  Please see the picture and problem #5   Thanks

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3 of question number 5. Please…

Q: 2. f(x) = x³ + 2 at point (1,3)

A: Calculate the value of the function at x=1. f1=13+2=3

Q: Find equations for the tangent line and the normal line to the graph of the equation at the given…

A: given: the equation of the curve is x2+y2=10 the given point is (3,1)

Q: Find the slope of the tangent line to the graph x/y=cost at the point (-pi,pi

A: Find your answer below

Q: Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to…

A: Since you asked multiple questions, we will solve first part for you. If you want remaining answers,…

Q: Tangent Lines Find equations of all tangent lines to thegraph of f (x) = arctan x that have slope…

A: To find: The equation of all tangent to fx=tan-1x having slope 14. Concept used: The equation of…

Q: Tangent Line Find an equation of the line tangent to thecircle x2 + y2 = 169 at the point (5, 12).

A: To find the equation of the line tangent to the circle

Q: Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2…

A: We know, the equation of the tangent line to the function f(x) at x=a is given by y-f(a) =…

Q: x*-y* 3) x²y³ = **-y+ ху

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Q: Find the equations of the tangent lines to the graph of y = In |x| at x = 1 and x = - 1 The equation…

A: Given,                           ....(A)

Q: Illustrate the tangent line of the curve.

A: The tangent line is a straight line which touches the curve at one point. The straight line at that…

Q: Use a graphing utility to graph the equation. Find an equation of the tangent line to the graph at…

A: Using a graphing utility to graph the equation. To find an equation of the tangent line to the graph…

Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the

A: given,         fx=cxn

Q: Composition of three functions Calculate the derivative of sin (ecos x).

A: The given function is sinecosx.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given

Q: Find an equation of the tangent line to the graph of the function f defined by the equa y2 – x2 = 9;…

A: we have to find

Q: Va2 – x2 y = Arcsin-+ to

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Q: Finding Tangent Line When Derivative Needs the Product Rule Determine an equation of the tangent…

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Q: (a) Use implicit differentiation to find all points on the curve where the tangent line is…

A: a). Given,

Q: In this calculus question, Find the equation of the tangent line and normal line to the graph of the…

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Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: Derivatives Find the derivative of the following functions

A: The given function is y=lnx2-1, To find the derivative for given function , differentiate the…

Q: 73. f(x) = /2x² – 7, (4, 5) %3D

A: the general form of a tangent line is (y-y1)=m(x-x1) where m is the slope and (x1,y1) are the…

Q: f(x) = x² – 4x + 1 at point (0,1)

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

Q: Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to the graph of the…

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Q: 4. ƒ(x)= v2x + 7 at x = 1 %3D

A: Given f(x)=2x+7, x=1

Q: 3. y = tan vx2

A: Given that y=tanx2-1 find dydx

Q: Find the derivative of the function. y = cot2(sin(θ))

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Q: 1 2. Find the derivative of y =V1 - x2 +arcsin x 2°

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Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x

A: The given question is taken from the calculus in which have to find its second derivative of the…

Q: y= Arctan

A: The function is y=Arctan2x3.

Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Find the equations of the tangent line and the normal line of the function at the given value of x.…

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx. y = cos2 (2x - 1)

A: The derivative of the given function can be determined using the chain rule.…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: here the given function  fθ=8 sin θ-θ Differentiate the given function with respect to θ as f'θ=ddθ8…

Q: Finding an equation of a tangent line. A. find an equation of the tangent line to the graph of f at…

A: a) To find the slope of the tangent line we find f'(π) first.…

Q: Find the equation of a tangent line to the curve

A: The function is defined as a relationship between two sets, where one sets acts as a input and other…