Find the derivative of f( x ) = x^9log5(x+5.5) f'(x)=

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: What is the First Derivative Test for Local Extreme Values?

A: What is the First Derivative Test for Local Extreme Values?

Q: find the derivative of - (z+j)?

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Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: Find first derivative

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: On which derivative rule is the Substitution Rule based?

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Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the derivative of   1/x^3 = 3* 1/square root of x

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Q: find anti derivative.

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Q: Find the derivatives of following fucntion (logx)tanx

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Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: Find the derivative ofƒ(x) = 1/x5in two different ways:using the Power Rule and using theQuotient…

A: given: f(x)=1x5 the differentiation of the function f(x)=1x5 by using the power rule is: the…

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: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: Find the first derivative y= etanx

A: We have to find first derivative of    y=etanx   First derivative is dydx

Q: what is the first derivative of arccos4x

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Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: Determine the anti derivative of the function.

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

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

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Determine the derivative of 6x log3(x)

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Q: Brd Derivative OF y=-Jin3x

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Q: Find the derivative of fcx) = en (sinh Cx)) 5

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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: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Determine the anti derivative of the function please

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

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

A: Given,         y=x2-3x2+34

Q: What is the difference of antidifferentiation and anti-derivative?

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Q: Find the most general anti-derivative

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Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the portial derivative of

A: Follow 2nd step.

Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

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

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Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: State the First Derivative Test.

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Q: In(x-

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Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

A: Given query is to find the derivative of the expression.

Q: Calculate the derivative of y=tanx using the quotient rule.

A: Given that, y=tanxy=sinxcosx        Using tanx=sinxcosx

Q: h (x)= 3

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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 at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

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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

Q: derivative of log,10x is :

A: