List an efficient formula to calculate the directional derivative for a differentiable function?

Q: State the theorem for Computing the Directional Derivative.

A: Partial derivatives give us an understanding of how a surface changes when we move in the x and y…

Q: Are the approximating functionson tangent lines?

A: YES, the approximating functions are on tangent lines.

Q: Define the term derivative of a function at a point?

A: The derivative of a function f(x) is the rate of change of f(x) with respect to x. The derivative…

Q: What is the geometric interpretgtron of the derivative f'(a)?

A:

Q: Define with equation directional derivative?

A: The gradient of function f(x,y) is defined as, Where fx and fy are partial derivatives.

Q: Use Part one of the Fundamental Theorem of Calculus to find the derivative.

A:

Q: Use 5-point centered difference methods to derive algebraic formulae of the first-order derivative…

A: The numerical approximation methods involve Taylor's series expansion of a function as follows: Let…

Q: Use various notations for the derivative

A: Solution: There are four popular derivative notations : (1) Leibniz Notation (2) Lagrange Notation…

Q: ax

A: Given: ∂∂xxa-ax for finding derivative of given function, we use property given below ddxxn=nxn-1

Q: Compute the derivative of the function f(r) = cos(x) by the difference quotient definition.

A: The given function is fx=cosx.

Q: Find the derivative dydx of Galileo’s spiral.

A: To find: Derivative of Galileo's spiral

Q: Find the derivative of g(x)=sec(1/2x) tan (1/2x), simplify and using trignometry elimate tangent…

A: To find: the derivative of the below function.

Q: Express the derivative in “subscript" notation. NOTE: Your answer should take the form fo.

A:

Q: what are the real-life application of differentiation

A: Differentiation refers to finding the rate of change of one quantity wrt the other.

Q: find the derivative using implicit differentation

A: Apply derivative on both sides

Q: Plot a function for which every secant line has a parallel tangent in between the points of secancy.

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Q: Use the graph of the function to sketch the graph of the derivative. (on the same grid is fine)

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Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: Give 5 examples of derivative of inverse hyperbolic function with solution

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Q: Find the derivative of f(a) %3D 울 -울 + 4VE

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Q: Which rule(s) are used to find the derivative?

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Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

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Q: f(x) = tan (5æ).

A:

Q: メ-しリ ニ X² ty2

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative.

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Q: Calculate the following (using derivative rules).

A: According to guidelines we have solve only firat three subparts kindly repost other subparts as the…

Q: State the limit definition of the derivative.

A: derivative can be defined as below:-

Q: Describe how to find the slope of the tangent line to the graph of a function at a point.

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Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: 4 3. Лх) — Зх - 5 %3D

A: Given that  f(x)=4/(3x-5)^2  To find the derivative of f(x)

Q: In Exercise point P in the indicated direction. find the directional derivative of f at the

A: Given, fx,y,z=z2tan−1x+y;   P0,0,4,   a=6,0,1Formula:Da→fx,y,z=fxx,y,za+fyx,y,zb+fzx,y,zc

Q: Find the derivative of the trigonometric function f(x)=sin2x using the limit definition.

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Q: Sketch the graph by using the properties of the derivative.

A: We have to sketch the graph of y=x2+2x by using the properties of the derivative.

Q: Find the directional derivative of the function in

A: Given, the function                                f(x, y)=ln(x2+y2)

Q: find the indicated derivative using the definition

A: Given: fx=x2+34-x2 Now to find the derivative, ddxx2+34-x2 We use the quotient rule as,…

Q: find the directional derivative

A: We have to find the following given conditions according to the given information

Q: Express the derivative in “subscript" notation. NOTE: Your answer should take the form fg.

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative. dt

A: We have to find the derivative by fundamental theorem of calculus.

Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: Illustrate the Derivative of Cosecant Function ?

A: Illustrate the Derivative of the Cosecant Function?

Q: Compute derivative for the of the

A: Given: hx=log2x232x3

Q: For what theta value is implemented for the derivative max at point (2, -3) of the function f (x) =…

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Q: Show that F(x) = tan2 x and G(x) = sec2 x have the same derivative.What can you conclude about the…

A: Given:Fx=tanx2Gx=sec2x

Q: Find the directional derivative of the functio:

A: