How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

Q: What is the First Derivative Test for Local Extreme Values?

A: What is the First Derivative Test for Local Extreme Values?

Q: The method of u-substitution is the integral analog of the chain rule of derivatives and the method…

A: Let say we have two functions f(x) & g(x)Now combine the function f(g(x))Hence, the derivative…

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

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Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx

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Q: Sketch the x^2 And the derivative And integration

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Q: Describe the First Derivative Theorem for Local Extreme Values?

A: Describe the First Derivative Theorem for Local Extreme Values?

Q: What are application of 1st principle method of derivative?

A: First principle method: Differentiation from first principles: Given a function y=f(x) its first…

Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: Find the points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

Q: How do you find the derivative using the chain rule?

A: The given equation is hz=ba+z29.

Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

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

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: What is the First Derivative Test for Local Extreme Values? Give examples of how it is applied.

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Q: How to use a graph of a derivative to determine the parent function.

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

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Q: State the Second Derivative Test

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

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: how to find the derivative using logarithmic differentiation?

A: Explanation of the solution is given below..

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

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Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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Q: can you solve the derivative function or what is the corect derivative of this function?

A: We have to find derivative of given  function.

Q: Find the derivative of (sinx)2(sin-1x)2

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Q: 2 Find the derivative of: 9/x + 4x – 2 - - d 2 + 4x - - dx II

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Q: Use logarithmic diffenentiation on an alterative method to findthe derivative of the function?

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Q: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

Q: Compute Anti-Derivative (-1 --> 1)  (x^3 + x) / (cos(x) + pi) dx

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Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Explain how the Second Derivative Test is used.

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

Q: how to find the derivative of 1-sec x

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Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: Find the derivative of y = arctan(x² + 3)

A: To find: The derivative of y=tan-1x2+3. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

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: DERIVATIVE OF (cosx/1+sinx)^5

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Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

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Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: Explain theorem 11—Second Derivative Test for Local Extreme Values?

A: Second Derivative Test for Local Extreme Values: Let f be a function defined on an interval I and…

Q: h (x)= 3

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Q: 5-cos x 3) f(x) = 5+sinx foo

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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