Explain how to find a differential of a function.

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. 21/4 1/2 +1

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Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: When is it necessary to use implicit differentiation?

A: To explain: The necessity to use implicit differentiation: Explanation: Implicit differentiation: If…

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: Find the derivative of π^2 .

A: We have to find the derivative of π2

Q: How to find derivative of polynomial?

A: To find the derivative of any polynomial function use this formula:       the derivative of…

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: (は a 2

A: Solve the given problem.

Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: Why is the derivative of a constant function zero?

A: Consider the constant function fx=k. Apply the derivative definition as follows.

Q: Find the second derivative.

A: Given that : The function is f(x) = 6 x10 - 17 x5 - 12 x3 + 5.

Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Explain why the derivative of a constant function is 0.

A: We have to explain that derivative of a constant function is 0. We know that constant function is…

Q: FIND THE DERIVATIVE OF THE FUNCTION.

A: The given function is fx=x3-3x2+4x2.

Q: What is meant by Implicit Differentiation?

A: In implicit differentiation, we differentiate each side of an equation with two variables by…

Q: Find the derivative of the function.

A: Given function is hx=x+5x2+32 We have to find derivative of given function. To find derivative of…

Q: How do you find the derivative of an inverse trig function?

A: Note that, there are six trigonometric functions which also have inverses. There are general formula…

Q: Find the derivative of the function. 2 + 2

A: To find the derivative of the function, y=rr2+2

Q: FIND THE THIRD DERIVATIVE OF A FUNCTION

A: Given, The function  fx = 11x2+9x-723x-5x2 We have to find the third derivative of the function.

Q: Find the derivative of the function

A: To find: The derivative of y=cot 8x3. Concept used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: DERIVATIVE

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

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.

Q: g(x) = x'n(x) %3D

A: We have to find derivative of given function-

Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: Determine whether the following statement is true or false, and explain why. The chain rule is used…

A: Given: The chain rule is used to take the derivative of a product of functions.

Q: What is the derivative of a constant function?

A: The derivative of constant function is always zero.

Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: How do to know which rule to use in differentiation?

A: How do to know which rule to use in differentiation?

Q: what is the derivative of 1/x2

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Q: Find the second derivative of the function. 1+20 (2-0) 20

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. x -…

A: y=x-5x6+2differentiate w.r.t. xdydx=12x-5x6+2…

Q: Find the second derivative of

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below

Q: (*) 5

A: We know that derivative of xn is nxn-1. Here We use fundamental theorem of calculus then find g'(x).…

Q: Find the derivative of the function by definition. 1- V2x+3

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

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Q: Use logarithmic differentiation to find the derivative of (2x + 3)2/2- x (x – 1)3

A: Given,          y=2x+322-xx-13

Q: Find the derivative of this function

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Q: Find y" by implicit differentiation. 3x" + 4y - 2

A: differentiate it with respect to x.

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

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: Joha Find the derivative of the 1 1- f(x)= 2x+3

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Q: What is the inverse process of determining a function whose derivative is known?

A: The inverse process of determining a function whose derivative is known is called

Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: find the derivative of the function.

A: Given:      fx=cos25x+3+tan37x   differentiating on both sides     f'(x)=ddxcos25x+3+tan37x…

Q: * Use the chain rule to find the derivative of

A: Given,        w = xy Here,         x=tan(t),   y=csc(t)

Q: How do some functions vary continuously?

A: Given: Behaviour of the functions which vary continuouslyFor instance:…