Find the derivative of the following functions: b). ?(?)=2tan^−1(?)−7?

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

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

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Q: find the derivative of tihe unction?

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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: ex = cosy

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

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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 derivative of x/ex^2.

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Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: (4) Find the derivative of f(x)= tanx+5

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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: On which derivative rule is the Substitution Rule based?

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Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

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Q: Obtain the second derivative of the function f(x) = 6 In(8x) – 3z4 and state the value of this…

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Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: Find the first four derivative  if  y= cosx

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Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

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: 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: In(tanhx)

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

Q: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Find the derivative Of U-5

A: Derivative of integration

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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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: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: What is the value of the second derivative y" at the point (4,3)

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Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

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

A: Given,         y=x2-3x2+34

Q: 5, Find derivative y = Cott-tanx

A: We will find the derivative as following.

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: 19. Find the derivative of 16 = xy using implicit differentiation.

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Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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

A: To determine the derivative.

Q: What is the Derivative of yx

A: f(x) = yx

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

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Q: calculate the derivative y = cosh−1(3x)

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Q: X-2 %3D

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Q: h (x)= 3

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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