If sec(x)=11/2 (in Quadrant-I), find, cos(2x)=

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

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Q: Find. S sin3 2x cos3 2x dx

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A: Given: 1-y=sincoshx log22

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: se*cosx dx e-sinx

A: Let sinx = u then cosxdx = du

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

Q: S tan' (2x)sec“ (2x) dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find the second derivative and simplify the final result 4. y= 5/ (sin3x + cos3x)

A: y=5sin3x+cos3x Differentiating with respect to x, we get…

Q: 5. | cos(7x)dx

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Q: Solve Sin (3x) %3D cos (2x)

A: to find derivative of y=sin3xcos2x

Q: 2. Arcsin(x/y) = 4x + 3y

A: Given: sin-1xy=4x+3y We know that ddxsin-1x=11-x2…

Q: 1. y = Arcsin(- x²+4'

A: Given: y=arcsinxx2+4 Differentiate the equation with respect to x.…

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Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: S16 sin²x cos²x dx ´x cos-x

A: ∫ 16sin2x cos2xdx

Q: If y=1/(x)^6 + cos(x), calculating the derivative.

A: Given thaty=1x6+cos(x)

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: Find /e2x sin(2x)dx

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Q: 4x3 ソ= cos sin e2x

A: We have to simplify the derivative

Q: 3+ cos(log, x) xp- x sin?(log, x)

A: Given I=∫3+cos(log4x)x sin2(log4x)dx Let assume log4x=t ⇒1x ln 4dx=dt⇒dxx=ln 4 dt

Q: Find the first derivative Complete Solution.  1.) t=sinθtanθ

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Q: - sin(x®) 9u e cos(3x)· du 9u? Inx5

A: Given- ∫lnx5sin(x6)cos(3x)e9u29u2du To evaluate the given integral.

Q: Evaluate the integral.

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Q: Find y' of tan x = Sin y -2x5

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Q: 1- 1- (Sin (coshx) sinhx dx

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Q: If y = -cos x, what x-value corresponds to a y-value of 1 between 0 and 27?

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Q: Find Dg sin° (7x). 3

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Q: How would you evaluate∫tan10 x sec2 x dx?

A: given ∫tan10 x sec2 x dx

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Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: Find the derivative of flx)=Sin(7x'+91Cos(3x?)

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Q: 5. y = = cos' cot (csc

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Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: 50 6x sin dx e sec sec

A: The question seems to be wrong. I have made a few changes. The solution is as follows below:

Q: Find the first derivative y= tan2(sin x)

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Q: 2. S CoSx+sinx-1

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

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Q: Differentiate sin(x2 + ex) with respect to x.

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Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

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Q: What is the derivative sin?x+cos?x

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Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)

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: