Find the derivatives of x^ x (x>0) with respect to x, find first principles

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: find the derivative of tihe unction?

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Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: fla)=-sinx (): In, Cosx

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Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

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Q: What is the derivative of ex? What does it mean that the derivative is equal to the value of the…

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

Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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

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Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find the points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: Find the derivative. Simplify where possible.

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Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative fex=exV3x+2

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Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: Estimate the derivative of f(x) = sinx atx = ~-

A: Consider the provided function, fx=sinx at x=π2 Find the derivative of the function. First, we…

Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: q? sin-! メ

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Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Brd Derivative OF y=-Jin3x

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Q: calculate the derivative y = ecosh−1 x

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

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

A: Giveny=etanxTo findderivative of y.

Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: What are the formulas for differentiation or derivative? When and how to apply those forhmulas?

A: Explanation: General formula of differentiation Power rule: ddx(xn)=nxn-1 Derivative of a constant…

Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: Find the derivative of y = arctan(x² + 3)

A: To find: The derivative of y=tan-1x2+3. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: Find the derivative of fx Fx = sin x/cos x+1

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Q: X-2 %3D

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Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: Find the derivative car (x+y) = yrinx

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Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x