Find the slope of a line tangent to the curve of the implicit function xy +3y-68 =0, at the point (5,4). Use the derivative evaluation feature of a calculator to check your result. The slope is (Type an integer or a simplified fraction.)

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

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Q: find the derivative using the appropriate rule or combination of rules. y = 4e−x + 7e−2x

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Q: y = 4x° + 4x at (1, 2)

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Q: と FCx) = 1oga x-1 %3D

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Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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Q: Calculate the derivative indicated. f (4)(1), f (x) = x4

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Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

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Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

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Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: 4 f(x) = Vx*+2 %3D x*-2

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Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Calculate the derivative of the function below using the quotient rule. 7x y = 9x + 8 f(x) = and…

A: To find the derivative of the given function using quotient rule.

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: calculate the derivative indicated. f (4)(1), f (x) = x4

A: Given: fx=x4 To find: f41 Solution: Power rule of differentiation states that: ddxxn=nxn-1 Finding…

Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x5 −…

A: f(x)=x5-x3

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Estimate the indicated derivative by any method. y = 4x; estimate. X- 2

A: The given function is y=4x2

Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides…

Q: exp(x²) Vx²+1)( ¥2x* +3 18. f(x)= Vx*+1

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Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: Find the derivative of the function. y = x2 In x2

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Q: a) calculate the derivative of: f1(x) = 2x4 - 3x3 + ½x2 + 3 b) Calculate the equation of the line…

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Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

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Q: 2. f(x) = V-3x+ – 2

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: Considering f(x) = 9 – 5x. To find the approximate derivative of f(x) at x = 2.

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative of the function. (x + 1)(2x – 5) f(x) %3D 2x + 3

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Q: Find the derivative of the function. 3x + V 3x + V3x

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Q: Find the derivative of the function.

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). f (x) =…

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Q: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

A: Questions basically from differentiation.  Note-As per our guidelines we are supposed to answer only…

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: with positive exponents only

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Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…

Q: Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and…

A: Given query is to find the derivative using quotient rule.

Q: find the derivative of the fuction. f(x)=(x^3-3)/(x^2-4)

A: Consider the given function.

Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

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Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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