Calculate the derivative of the following functlon. 18 y3 (csc x+ cot x) dy %3D Xp

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given curve:

Q: Find the equation of the tangent line to y = 4cos(3x) at x =

A: We have to find the equation of tangent line

Q: please answer both

A: Given:

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A: Given curve is y=x+3. To find the equation of the tangent line to given curve at point x=1.…

Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: Evaluate the derivative dt for the function y = 4Vt cosh vt – sinh(t?). 4.

A: Given:y=4t cosht - sinht2

Q: Calculate the derivative of the following function. y = cos *0 - sin °e dy de II

A:

Q: Find the derivative. y = 5t cos (t) dt

A: To find the derivative of: y=∫0x5t cos(t6) dt...(1) The Fundamental Theorem of Calculus says:…

Q: Find the equation of the tangent line point correšponding to t=1. X = t sint L COs J

A: The parametric equation of curve is,  we have to find the tangent line at

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (1, 1)

A: Given: To find an equation of the tangent line to the curvey=x at the given point (1,1)

Q: Find the equation of the tangent line to the curve x = In t ,y =1+t² when t = 1 . %3D

A:

Q: Evaluate the following derivatives.

A: Given, ∫x2exsin3t dt We have to find ∫x2exsin3t dt ∫x2exsin3t dt=∫x2exsin2t sint dt ∫x2exsin3t…

Q: Estimate the slope of the tangent line at the point indicated.

A:

Q: Calculate the derivative of the following function. y= cos (6 sin x) dy %3D dx

A: Given that        The function is y= cos(6 sin x) Here we have to find dy/dx .

Q: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

A:

Q: A) Find the equation of the tangent line to the curve x²y + xy2 = 6 at x = 1

A: Given: The equation of curve , x2y +xy2 =6,  x = 6 To find: The equation of tangent line to the…

Q: Find the derivative of the function y = (cot x- csc x) 1 %3D dy %3D dx

A: ddxcotx-cscx-1

Q: find an equation of the tangent line at the point indicated. s(t) = ln(8 − 4t), t = 1

A:

Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

A:

Q: Determine the derivative dy/dx for the following equation. Sec (x+y^2)+tan(x^2+4yx)=cos(y)

A:

Q: The equation of the tangent line to Y f(x) at a can be written in the form y 3 = mx + 6 where m =…

A: Given Data: Function: fx=6sinx6sinx+4cosx   Differentiate the function with respect x is,…

Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

A:

Q: Find the equation of the tangent to y = at X = Tt. cos(x)

A:

Q: find the equation of the tangent line at the given point x=2cost+3 y=3sint-2 at the point given by…

A:

Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: Find an equation for the tangent line to y=f(x) and the specified point Answer in y=mx+b form

A:

Q: dy y = V3x? – 4x +7; dx

A:

Q: Find an equation of the tangent to the curve at the point comespohding to the given value ofthe…

A:

Q: Find an equation of the tangent line to the curve at each given point. x = t2 − 4,    y = t2 − 2t…

A: Find an equation of the tangent line to the curve at the point (0,0).

Q: Find the equation of the tangent line to the following curves at a given point y = x² – 6x + 9 at x…

A: 1)y=x2-6x+9 at x=2 2)y=sqrt(x+3) at x=1.

Q: Find the equation of the tangent to the curve y = cos 2x at the point where x = kko

A:

Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

A:

Q: Find the equation of the tangent line to y= sech? (x) . = In(3). at x

A:

Q: Find a point of the following curve at which the tangent line has equation = x + T. .2 2.xy –…

A: Given equation of tangent  is     y=x+π⇒ slope of tangent  =1

Q: Find the slope of the tangent line to the curve I defined b y 5x²+8xy-4y"= 1B47 atthe point %3D…

A:

Q: Find an equation of the tangent line to the following curve at the given point. у %3Dех сos пх, (0,…

A:

Q: Find an equation of the tangent line to the function y = 3x at the point P(1, 3).

A: Given: The function y=3x2 . The equation of tangent line at the point Px1, y1 to the a curve y=fx…

Q: Find the equation of the tangent line to the following curve at the given point. y = cosh(x) +…

A:

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: In what direction is the derivative of f(x,y)= xy +y at P(4,9) equal Select the correct choice below…

A:

Q: find the equation of the tangent line to the curve at the point corresponding 4o the given value of…

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

Q: Find the equation of the tangent line to the graph of y=(x² – 2)* at x=2. Write your final answer in…

A:

Q: Find the derivative of y with respect to t. y = sec 0<t< 7 | 7t5

A: Given that        y = sec-1(1/7t5) Now we have to determine the derivative of y with respect to t.

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

A:

Q: Find an equation of the tangent line at the point indicated. s(t) = In(7 – 3t), t= 1. %3D (t-1)…

A: Following steps help to find equation of line tangent . 1.Find the first derivative of f(x). 2)…

Q: Given the position function s(t) = 12t – 5t? find the velocity and acceleration using the definition…

A:

Q: Consider the curve x = ey. Use implicit differentiation to verifythat

A: Given: x=ey ;Take log on both sideswe get,  log x=log…