Quiz, Qi Prove that the arc lenfth of Curve to y = log secx from N =0

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

A:

Q: Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

A: The given curve is .The aim is to find the slope of the tangent line.Derivative formulas used:

Q: F(?) = arcsin( (sin9(?))^1/2)

A: Given; F(?) = arcsin( (sin9(?))1/2)

Q: The deferential of point functions are exact differentials. Select one: True False

A: True

Q: Differentiate. g(t)=31t g' (t) =

A: To differentiate the following function.

Q: Find the first derivative: y = In sin e Oy = 2e sece Oy = -2e cot e= Oy = 2e tane Oy = 2e cscez

A: Solve by derivation

Q: If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f'(5). f(5)…

A:

Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: Please see attached

A: Given,

Q: -find dy/dx at the given point.

A:

Q: Show that the derivative of y- arccos (x) is ay- dx sing implicit differentahon an appropriakly…

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

A:

Q: ´Arctan y_ In y g(y) =

A:

Q: Find an equation of the tangent line to the curve at thegiven point  y =  e x  / x…

A: Given curve is y=exx To find: Equation of the tangent line to the curve at point (1,e). Solution:…

Q: Compute the derivative of f(x) = arcsin(x? e

A: Given f(x)=sin-1(x2e3x)

Q: Find the arc length of the curve y = log(1/cosx) from x = (/4) tox= (/3)

A:

Q: A particle is moring along ASit reaches to the point 2,6), the y-cordinate S decrea Sing ata rate of…

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Q: Solue : Srih'x t1- sech x %3D

A: In order to solve this we need to write the hyperbolic inverse functions in respective logarithmic…

Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: Determine the tangent line to the curve when t=2 x=e^2t sint and y=e^3t

A:

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.