Find an equation of the tangent line to the graph of the function at the given point. y = 7 Ine* + e¯x (0, 0)

Q: y = In (x* + 5)³

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

A: As per our guidelines, I can answer only one question and maximum three subparts of a question.…

Q: Find the equation of the tangent line to the given function at the given value. y = 4x3 + x at x =…

A: Given the equation of the function y=4x3+x At x=-1 the value of y on the given curve is…

Q: Find the equation of the line tangent to the graph of y = 4 ln(x) at a = 2. Enter exact values.…

A: detailed solution is given below

Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: 1-x Find the derivative of y = arctan %3D 1+x

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Q: 10. g(x) = e*´ arcsin x

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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Q: Find the derivative of the function. Simplify where possible. 60. y = arctan I+x

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Q: Find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan…

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Q: Can you help me with this problem step by step?

A: The equation is given by

Q: 5. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given eq. is xcosy=1Now differentiate wrt x on both sides:ddx(x*cosy)=ddx(1)We know that…

Q: 1 of 1 че le y=sı sin find derivative eq uatlon of tangent Iine at t= Ò

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Q: y = esin 2x + sin(e2*) = esin

A: For the detailed solution follow the next step.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given, y=coshtan-13x

Q: (a) Use logarithmic differentiation to find the derivative of the function. y (In x)seca (b) Find an…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A: y=5coshx-sinhx2,   0,5let 'm' be slope of tangent line.m=dydx=10coshx-sinhxsinhx-coshx

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

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Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),    (3,…

A: Given equation of curve y = ln(x2-3x+1)

Q: II. Find the first derivative of the given function. tan 2x 6. у %3 1-cot 2x

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Q: Find the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: Find an equation for the tangent line to the graph of the given function at (-2,3). f(x) =x - 1 Find…

A: Topic:- application of derivatives

Q: · Find the DERIVATIVE of the given functions. Show work supporting your answers. (a) y = log2 (3x2 +…

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Q: Find an equation of the tangent line at the given point.  f(x)=3/x2  , at x= -1

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Q: Find an equation for the tangent line to the graph of the given function at (-5,29). f(x)=x² +4 Find…

A: f(x)=x^2+4   (-5,29) slope=m=dy/dx m=dy/dx=d(x^2+4)dx=2x m=2x (-5,29) m=2(-5)=-10

Q: Find the equation of the tangent line to the function f(x) = ln (7 – 4x) at x = 1. (Use symbolic…

A: Slope of the tangent is obtained by dy/dx

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

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Q: Find the derivative of y = cot^-2(x)

A: Derivative of Apply chain rule to take derivative

Q: Find the derivative of the function. Simplify where possible. y   =arctan(cos θ)

A: Given:y=arc tancosθFormula:ddxtan-1u=11+u2.dudx

Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: d the equation of the tangent line to the curve at the given point using implicit differentiation.…

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Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

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

Q: Find an equation for the tangent line to the graph of the given function at (- 3,13). f(x) = x² + 4…

A: From the given problem:   fx=x2+4px1,y1=-3,13   The expression for the slope of the tangent to the…

Q: 10. Y3D3X sin x + COS X

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Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),      (3,…

A: To Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),…

Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: 5. y = [csc Jarcsin (cos.x)

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Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

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Q: The tangent line to the graph of y=f(x) at the point (7,55) has the equation y=8x−1 (a) Find f′(7)…

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Q: The function f(x) whose derivative is sin x and whose graph passes through the point(0, 2)​

A: we have to find the function f(x) whose derivative is sinx and whose graph passes through the point…

Q: Find the equation of the tangent line to the function f(x) = ln (13 – 4x) at x = 1. (Use symbolic…

A: We have to find the equation of tangent of ffx=ln13-4x at x= 1 at point x = 1

Q: 1-X Find the derivative of y = arctan 1+x

A: Given that: y=arctan1-x1+x

Q: Solve for the second derivative(y") of the following and simplify the final results. Show complete…

A: Given. ⇒4lntan-1x=1-y⇒y=1-4lntan-1x Taking derivative with respect to x, we get…

Q: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: find the equation of the tangent line to the graph of the function y = ln(x^2) at the point (3, 1).

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