What is Newton's method in application of derivatives?

Q: What are the derivatives of the sine and cosine functions?

A: Derivative of sine function is,

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

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Q: What is the meaning of a derivative?

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Q: Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a…

A: Topic:- application of derivatives

Q: y Arctar 3-V9-x2

A: Given: y=tan−1x3−9−x2 To find: the second derivative of the function

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: Calculate the derivative of y = 4 + 1.

A: Calculate the derivative of y = 4 + 1.

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: What is a differential? What is it used for?

A: The differential describes a variation in the linearization of a given function. It is further…

Q: What role does the derivative play in defining slopes, tangent lines, and rates of change?

A: To determine the role of derivative of a function in defining slopes, tangent lines and rate of…

Q: How can you use directional derivatives to estimate change?

A: Let f be a differentiable function. The directional derivative of f in a particular direction at a…

Q: Calculate the derivative.

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Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: What exactly is a derivative?

A: Derivative actually measures the steepness of the graph of a function at a particular point.Thus…

Q: What is meant by Implicit Differentiation?

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

Q: How to determine the derivatives as indicated?

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Q: What is curve sketching in application of derivatives?

A: We need to answer what is curve sketching.

Q: Is the function above differentiable everywhere? Explain using derivatives.

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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: 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 can the derivative function definition be applied to this problem?

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Q: How do I find the derivative of this problem?

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Q: Find the derivative of y = x. %3D

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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: What is a derivative?

A: The derivative of a function can be defined in two ways, one approach is graphical and other…

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

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Q: Acceleration is the first time derivative of velocity

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Q: the derivative of

A: We find derivative of given function Use formula sin2x = 2sinx cosx

Q: What is the derivative of f(x)?

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Q: sec- 1 2. у %3D| tan

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Q: Define Higher order Derivatives ?

A: To define: Higher Order Derivatives

Q: How do I find the following derivatives?

A: Using 1 rules of log 2 derivatives of composite functions (chain rule)

Q: Explain Directional Derivative?

A: Our Aim is to explain Directional Derivatives.

Q: What is the derivative of y = ekx?

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Q: Find the derivative of the equation. cos (x) y = x y' ||

A: Here we have to use logarithmic differentiation. According to product rule of differentiation,…

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: What is the first-order derivative of y = x^y?

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Q: How do you use Implicit differentiation find x^2+2xy−y^2+x=2 and to find an equation of the tangent…

A: The given equation is, x2+2xy-y2+x=2. Differentiate the given function with respect to x.…

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Find the derivative of dt

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Q: Then the derivative of

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Q: What is the derivative OF a Arcsin X y= 3

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Q: The Definition of Derivative

A: Question is solved.

Q: How are derivatives and one-sided derivatives related?

A: One-sided derivatives are the derivatives in which ordinary limit is replaced by a one-sided limit.

Q: Find the derivative of f(x) : %3D

A: We need to differentiate the function f(x)=1x with respect to x. We also know that ddxxn=nxn-1.

Q: derivative

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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,…