FInd the intervals in which the function f(x) =sin(logex) +cos(logex) is decreasing

Q: Graph the function ƒ(x) = sin3 x.

A: Given:

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the…

Q: Explain how to transform sin x into the function f(x) = -sin x. 4

A: To transform the function sin(x) into the function f(x) =-14sin x, we can apply a vertical stretch…

Q: Differentiate the function.  f(x)=cos{sin(tan(pi*x))}1/2

A: Given f(x)=cos{sin(tan(pi*x))}1/2

Q: cos 3x = √3/2 x =

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Q: Evaluate : sec'x log (1+ sin°x) dx X,

A:

Q: Differentiate y = tan ¹(√x). y'

A:

Q: tan(2x)=1 interval [0,2pi}

A:

Q: dx 4√/3x-x² 5³-

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.