Find the upper bound on the error if tan '(2x²) × 2x² and þx|< 0.2

Q: Find the Derivative f(x) = cosh(In(4x))

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Q: (5x) S sin(x) tan(x) .........

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Q: EX / Show that cosh x-sinhx=1

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Q: find f'(x) if f(x) = tanh(ln x) +sin2(2x)

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Q: find the derivative  f(x)= square root of 1-sin2x

A: The given funtion is,

Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

Q: 5. Integrate: [tan(7x)dx

A: 5) The given integral is ∫tan7xdx

Q: g(x) = In tanh-1 x

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Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: ln(x) is just defined for x greater than 1. Select one: True False

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Q: Integrate: S tan (æ) sec³(x)dx

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Q: Express in exact form: In(x² + 1)dx

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Q: Q1/Prove that S cosh(2x)sinh(x)dx = cosh(3x) – cosh(x)) -

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: Use Newton Raphson method to obtain a root to 3 decimal places :  sinx=1-x

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Q: Compute the derivative. k(θ) = θ2 sin2 θ

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

Q: 2- Find the positive root of f(x) = xe"- cos(x) with an error tolerance =0.005% by using the secant…

A: Using a graph, it can be found out whether a function has solutions if the graph cuts the x-axis at…

Q: Evaluate S sinh x cosh x dx by letting u=cosh x

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Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: find the derivative f(x)=square root of 1-sin2x

A: The function f is in terms of x.Apply the chain rule and obtain the derivative of the given…

Q: Find the indefinite integral ∫tan3 x/2 sec2 x/2 dx

A: we have to find the value of indefinite integral  ∫tan3x2sec2x2dx let the given indefinite integral…

Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

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Q: f(x)%3 sin-Vx-1

A: Our Aim is to find the derivative of f(x)=sin-1x-1 -(i)

Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

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Q: Compute coshx and tanhx, assuming that sinhx = 0.8.

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Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

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Q: Find first and 2nd derivative guncic 2 tan2x 3.

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

Q: compute the higher derivative

A: Find first derivative using chain rule

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Acrsin a2_v2

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: Find the root of the equation using any bracketing method: f(x) = x2 – sin x - 0.5 with an upper…

A: Bisection Method:This is one of the simplest and reliable iterative methods for the solution of…

Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

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Q: Find cosh æ In(sinh x)dx.

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Q: 2/ Pind the Pirst derivative X. tan X. (3-2x ). 5x

A: Given equation is: y=x5.tan-1x3-2x.x3 To find the first derivative.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

A: We use the following identity to solve question 1). cosh2x - sinh2x = 1

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: What is the derivative of ln(sec(7x) + tan(7x))?

A: Let y = ln(sec(7x) + tan(7x)).Calculation:Obtain the derivatite of y as follows.

Q: ) Use the simple fixed point iteration method to find a root of th cos x with initial guess x, =4…

A: To find a root of the equation x3=-cosx using the simple fixed point iteration method with initial…

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: 4. Use implicit differentiation to find az in xexyz sin(2z) – xyz = 5. ду

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the first derivative test to identify all relative extrema  f(x)= 1/2x-sinx on the interval…

A: Maxima or minima: If f(x) is any function: 1) Evaluate f'(x)=0 for critical point. 2) Evaluate…

Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: Find the indefinite integral ∫ x2 sech2 x3 dx

A: We have to find indefinite intrgral  ∫x2sech2x3dx We have ∫x2sech2x3dx  Take x3=t⇒3x2dx=dt⇒x2dx=13dt…

Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: Find lim Sin 3x (1- Cosx) メーや。 メ*s X Sinzx cosx

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Q: Use differentials to approximate tan (43°). Round to 4 decimals.

A: Approximate to tan(43°) using the differentials ,