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Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: Using Leibniz find the third derivative of the following function y = e2= Inx

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Q: Using the forward difference, backward difference and central difference formulas, approximate the…

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Q: Evaluate the second derivative of the given function for the given value of x. 2 3 4 y 3x --,X%= -8…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) = 10xye-(x²…

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Q: According to Kleiber's Law, the metabolic rate P (in kilocalories per day) and body mass m (in…

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Q: Using high-accuracy central difference formula, determine the derivative of the function F(x) =…

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Q: derivative k(t) = 4.8t3 − 4t2 + 2t − 9; t(x) = ln x

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Q: Using Leibniz find the third derivative of the following function y = e2a Inx

A: The Leibniz formula expresses the derivative on nth order of the product of two functions. Suppose…

Q: 1. Centered-difference formula for the second derivative with one independent variable x y (x + h) –…

A: Claim: y''(x) = y(x+h)-2y(x)+y(x-h)h2-h212y(4)(ς) It is known that y = (x-∆x) =y(x) -∆xy'(x)…

Q: derivative of y = x^2 ln tan^2 x

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Q: Definition: "The second derivative of a function f with respect to the variable x evaluated at x = a…

A: Since the second derivative of a function f is the derivative of the derivative of function f.

Q: function Tind +he tirst and second derivative of ony de fined impibcity by yo y

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Q: 8. (Standard C5: Chain rule) Compute the derivative of h(x) = tan(vT). Show all of your work. You do…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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Q: 3z-2x² -1 (2z–1)®

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A: Here we differentiate and find the equation of tangent.

Q: Find the derivative of the algebraic functions 6. f(x) = x (1-) x+3, 7. g(x) = x+ cotx Find the…

A: the given functions,6. fx=x1-4x+37. g(x)=x+cot x8. fx=4x32

Q: derivative of e^ax+b by first principle

A: .

Q: (omputale the derivative 8. Y= (9+

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given

Q: Find an equation of the tangent line and an equation of the normal line to the graph of x + 5 f(x)…

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Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: h(x)=193x+13 , at the point 1,649

Q: Il relative extrema of the function f(x) = x* - 4x2 +2 by using the Second Derivative here…

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e3xy = sin…

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Q: Using Leibniz find the third derivative of the following function y=x2cos3x Find the local…

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Q: = (x2 +x – 12). Use the second- 1. Determine the a-values where relative extrema occur for y…

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Q: uous derivative. The table above gives values of fand its derivative for x=0 and x=4. If f (z) dz =…

A: Here we have ∫04f(x)dx=8 and  we have to calculate,  ∫04xf'(x)dx=?

Q: find the instantaneous rate of change of f(x)=x^2+3x at x=3 using the formula for definition of a…

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Q: 2.) f (x) %3D х

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x,y) =…

A: The Second Derivative Test:  Find the critical points of . that is the solution of the simultaneous…

Q: Find the derivative of the function. y = etan(x)

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Q: sinz 3. а) Find the derivative of the function f(x)= [ (1-r²) dt using FTC-1. 3a. b) Verify the…

A: To find -  Find the derivative of the function fx = ∫cosxsinx1 - t2 dt using FTC-1. Verify the…

Q: 9. (a) Use the definition of the derivative to find the derivative of function f (z) = 2r2 (b) Find…

A: The given function is fx=2x2. a. Calculate the derivative by using the definition of the derivative.…

Q: derivative of y=log(x sin x)

A: Given that: y=log(xsinx) find derivative of this function . We know that:  d(logx)/dx= 1/x.…

Q: Зх + 4 Calculate the derivative of f(x) 7x - 5 0. Give an exact answer in decimal form at x = f'(0)…

A: The given function is

Q: Find the derivative of the function. f'(x) = Find f'(x) when x = 2. f'(2) = Give the slope of the…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: uestion-9 a) Using 2nd derivative test, find the absolute extremes of f(x) = x – Vx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Derivative of: xn+1/ n+1 + C

A: Given, xn+1n+1+C. It is differentiated as follows: ddxxn+1n+1+C Take n, C as constant. Apply the sum…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: g differential equa

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Q: Using forward, backward, and central finite divided difference to find the first derivative of f(x)…

A: here we find the first derivative of the function f(x) = ex -2x2 +3x -1 at x = 0.6 and h = 0.2 by…

Q: Using the definition of the derivative 1. find S'(2) if f(x)=x 2. find f" if 2x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: d b.formula or rules for differe

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Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Using the forward difference, backward difference and central difference formulas, approximate the…

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Q: Derivative of g(x)=[(ex+1)/(x+1)]2

A: Given g(x)=ex+1x+12                 =e2(x+1)x+12 We find the derivative by the following method…

Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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Q: 6 on the interval [- 3,3]. x² +6 Find the absolute extrema of the function f(x) = Find the second…

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