Find the derivative of the tangent line 3x^2 +3x+3

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: Evaluate the second derivative at this critical number.

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Q: Compute the derivative, please.

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Q: (2х-6)° $(x) = (2x-6)* (x+3)'

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Q: What are the the mean value theorem in application of derivatives?

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Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: of tangent line to

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Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Compute the Derivative sec(4x)

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Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: On which derivative rule is the Substitution Rule based?

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: find the derivative using implicit differentation

A: Apply derivative on both sides

Q: State the Second Derivative Test

A: Second Derivative Test:   This is used to find local extrema.

Q: find anti derivative.

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Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: Calculate the derivative.

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: calculate the derivative

A: Given  The chain rule of derivative is given by The derivative of the hyperbolic function sech(x)…

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: What is the derivative of * 3lnr?

A: Given that y=3ln x find the derivative

Q: 1 y = ┤㈑┤慈┤

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Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

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Q: Describe the Second Derivative Test in your own words

A: A second derivative test is conducted to find the relative maxima and  minima of a given function.

Q: Find anti derivative of 4cscxcotx + 3/(sqrt(1-x2) - 1/(cubrt(x5)

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Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Identify the derivative with complete solution.

A: The given function is fx=5sec2x+20 To find: Derivative of f(x) In the given function sec(2x) is a…

Q: Explain the relationships among the slope of a tangent line, theinstantaneous rate of change, and…

A: The slope of a tangent line of f on x is,msec=f(x)-f(a)x-a

Q: Find derivative

A: Solve the following

Q: I need to find the derivative of some calculus equations

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Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: Urgent

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches. use…

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Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: Find the portial derivative of

A: Follow 2nd step.

Q: What are the formulas for differentiation or derivative? When and how to apply those forhmulas?

A: Explanation: General formula of differentiation Power rule: ddx(xn)=nxn-1 Derivative of a constant…

Q: Compute the derivative of

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Q: Find first derivative of each

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Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: What is the relationship between the secant line, slope of the tangent line, derivative of a…

A: Solved below

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

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Q: In(X+ bnx) %3D

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Q: Then the derivative of

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Q: Solve using applications of the derivative

A: Given problem is :

Q: Compute derivative for the of the

A: Given: hx=log2x232x3

Q: 2 2. f(x) = 5-x², (3,-4)

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Q: Find the derivative of number 4 in attached image using Four-Step Rule

A: Solution: The objective is to find the derivative of the given function

Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…