Prove that f(x) = [[sin²(2log r)– 3 sin ( 2logt)+2] dt %D 1. Cannot be decreasing any where,

Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: sin () (cos (t*) + t)dt %3D (2), NOTE: Enter a function as your answer. Make sure that your syntax…

A: In the given question, the Fundamental Theorem of Calculus Part I is applied. ∫afxgtdt=gfx·f'x

Q: Find the derivative of g u g(x) (2)=√1² +38 du u 5

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Q: Find the derivative

A: Step 1:Solution-Step 2:Solved with explanation.If you have any doubt you can ask for clarification.…

Q: Find the derivative of the function rsin(x) 1- t2 dt. 1+t4 g(x) /1

A: Explanation of the answer is as follows

Q: Find the derivative of f(w)= sin(4w²)+cos(4w²). A) Swcos(4w°)–8wsin(4w²) B) -8wcos(4w?)+8wsin(4w²)…

A: Given function is  f(w)=sin(4w2)+cos(4w2)Derivative of f with respect to w:f'(w)=…

Q: 3. Consider the function f (x) = sin² x + sin x on the interval (0,2n). a) Find the open interval on…

A: The given function is fx=sin2x+sinx on the interval 0,2π. a) Obtain the first derivative of the…

Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

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Q: Find the function ƒ with the following properties. ƒ'(x) = sin t + 2t; ƒ(0) = 5

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Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values…

A: According to bartelby's guidelines we can only answer three subparts of a question.Please post the…

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: se backward-difference formula to evaluate the first derivative of y = cos(x) at - using a value of…

A: Backward difference formula for the first derivativeGiven

Q: 16. r(0) = sec 0 tan 0 – 2eº -

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: