Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a derivative

Q: z (y/)° = y

A:

Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

A:

Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: Find the derivative of the function. 12) y = 2 secó x

A:

Q: What is the meaning of a derivative?

A:

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Vt- 4 V3t - 4 y =

A:

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

A:

Q: Calculate the derivative of y = 4 + 1.

A: Calculate the derivative of y = 4 + 1.

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

A:

Q: Compute the derivative.

A:

Q: Find the derivative of the equation. y = xcos (x)

A: Given : y = xcosx

Q: What is the derivative of y=e^x?

A: The derivative of a function y=f(x) gives the rate of change of that function with respect to x.…

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png In sin-1 -1(X` 2, y = e

A:

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: y = sec (2 – 3x)

A:

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

A:

Q: Find the derivative of: y? – 4x = 0 at point (4,4)

A:

Q: cosx y =-

A:

Q: compute the derivative at the point indicated without using a calculator. y = sec−1 x, x = 4

A: Given expression

Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: Find the derivative of the function. f (x) = 1/ ( 1+ sec x ) 2

A: Consider the given function, fx=11+secx2 it can be also written as, fx=1+secx-2 now differentiate…

Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

A:

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

A:

Q: Find the derivative of the function f(x.y) = tan -1 y at the point (4, - 4) in the direction in…

A:

Q: Find the second derivative of y = cot 3x

A: To differentiate the function in the first derivative as y' ordydx  and the second derivative as y''…

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Find the second derivative (y") of y = cot(3x³)

A: Given,        y=cot(3x3)

Q: Find the second derivative of the function.

A: Given,         f(θ)=3tanθ

Q: The derivative of ye* + xe + x + y=0

A:

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Find the derivative of the function. Simplify wherepossible.

A: we have to find the derivative of the given function  y=xsin-1x+1-x2

Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

A:

Q: What is the derivative of y = ekx?

A:

Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

A:

Q: Find the derivative of the equation. cos (x) y = x y' ||

A: Here we have to use logarithmic differentiation. According to product rule of differentiation,…

Q: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

A: Query- Describe the relationship between the derivative of a function to the slope of the tangent…

Q: compute the derivative

A: Given expression

Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: Find the derivative of the function y = sech−1 (sin x)

A: Given function - y = sech-1sinxDifferetiating on both sides with respect to x - dydx =…

Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Can you help me find the fourth derivative of y=1/√x?

A: We have to find