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

A: Indefinite Integration

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Q: the derivative of the function by using the rules of differentiation. f(u) = 20/ square root of U

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Q: Assume that f(x) is differentiable. Find an expression for the derivative of y at x =1, assuming…

A: Given, f(1)=4, f'(1)=-1 y=4xf(x) y'=(4xf(x))' =>y'=4(xf(x))'

Q: Use lagarithmic differentiation te find the derivativeof « with respect to the given independent…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. y = x²…

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Q: Find the derivative of the following function. f(x)=ln(e2x+3) evaluated at X=ln 4 The value of…

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Q: 2) The graph of a function y = f(x) is given. Draw a graph of it's derivative %3D

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Q: QI (a). Calculate the second derivative of f(x) = sin x ustng central and forward difference…

A: Given :-  The second derivative of fx = sin x using central and forward difference formulas at x =2…

Q: 11 at x = 10 Find the derivative of f(x) = f' 10 |(Type an integer or a simplified fraction.) %3D

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Q: Find the indicated derivative. Find y " if y = 8x sin x. Oy"= 8 cos x - 16x sin x y"= 16 cos x - 8x…

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Q: (8) Find the derivative of the functions (iv)f(x) = e* arcsin x arcsin 3x (v)h(x) = x' arctan 2.x…

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Q: B) Derivative following functions by using implicit differentiation method 1) y+x-100= 0 2) x…

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Q: Assume that f(x) is differentiable. Find an expression for the derivative of y at x= 1, assuming…

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Q: 100 The derivative of the function 1 is equal to ecos z

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

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Q: A challenging derivative Find dy/dx, where

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Q: roblem 1: Compute the derivative of each function a. f(x) = [ e' sin(3t) dt b. g(x) = | e' sin(3t)…

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Q: The derivative of a function f(x) is given by f'(x) = (x – 2)(x +4) Va2 + 1. a. Find an equation for…

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Q: Find the second derivative of f () = 6 sin (5z). Enclose arguments of functions in parentheses. For…

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Q: y = 1 1+ u 1 1-x

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Find the derivative of the function,

Q: Consider the function f = x->sinx. Compute the value of f(x) at x = 1.2, then find the derivative of…

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Q: Find the first and second order (both cross and direct) partial derivative of the following…

A: Consider the provided function, fx,y=5x4y2-2xy5 Find the partial derivatives of the function. First,…

Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: A function is given as x’ – 6y =5-x. Calculate the derivative of y with respect to x with two…

A: i) x5-6y=5-x6y=x5+x-5y=x5+x-56

Q: xerci if x < 0. (a) For which values of a is f continuous at zero? (b) For which values of a is f…

A: fa(x) = xa if x &gt;00 if x≤0(a) fa(0) = 0 ,  limx→0-fa(x) =0so fa(x) is continuous at 0 if…

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

A: *The given function f(x) is, f(x)=3x+74x-5 Apply quotient rule on the above function to get the…

Q: find the derivative of f(x)=x^6e^xcos(x) use symbolic notation and fractions where needed

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Q: Find me derivative of y with respect to x

A: Solution: The objective is to find the derivative of the given function

Q: Find local extrema using the second derivative test for the following function: f(x) = x In x

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Q: be 2 = xye I calculate a²z a²z a²z əx? ду? дхду

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Q: 1. (x2 + y2)3 = a*x2

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Q: Compute the derivative of f(x) = ex/ xn for constant n using the specified methods: (a) The…

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Q: se Richardson extrapolation method to determine the first derivative of f(x) at x = 0.23 for the…

A: Richardson extrapolation f'x=fx+h-fx-h2h Here values at x of function is given and h=.02

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

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Q: Assume that f(x) is differentiable. Find an expression for the derivative of y at x = 3, assuming…

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Q: A basketball is thrown for a 3-point shot. The height of the basketball (in meters) is given by the…

A: To find the height from which the basketball is thrown, average velocity, instantaneous velocity and…

Q: Leth(x) = arctan(x2+ 2x). Find all critical values (if any) ofhand use the second derivative test…

A: Explanation of the solution is given below...

Q: 11) The derivative of a function x f(x) MEGSures a) the areas under or between curves

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

Q: Calculate the derivative of the function P (V) = † at V = -5. Use symbolic notation and fractions…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: Find the derivative of y = cosh(11x) for x > . (Use symbolic notation and fractions where needed.)…

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Q: Find the derivative of y with respect to x. (х-5)11 (x - 4)44 y = In dy dx (Type an expression.) The…

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Q: Compute the derivative of the function y using derivative rules. y = (9x + 5)' (Express numbers in…

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Q: a. Find the derivative of f at x. That Is, find f'(X). b. Find the slope of the tangent line to the…

A: Given function, fx=x It can be written as fx=x12

Q: of the function at x=c. The second derivative of the function y=f(x) at the point x=c is…

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Q: Use logarithmic diferentiation te find the derivative of { « with respect to the given independent…

A: Since you have asked multiple question, 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: Using forward, backward and central finite divided difference to find the first derivative of y = at…

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Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The…

A: f(x)=ln…