Determine the equation of the tangent line to the graph of g(x) = Sm, [1 – sin(ne')]dt at %3D In x the point where x = 0.

Q: Determine the equation of the tangent line for y = sech(In x) + tan-(x²) tangent at x = e*. A. Yr =…

A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

Q: y=8sin(x)cos(x) ; x=pi/3

A:

Q: Compute the derivative of h(sin(x)) at x = pi/6 assuming that h'(u) / u =0.5 = 18. d/dx h(sin(x)) /…

A: We have h(sin(x))

Q: Determine the equation of the tangent line to the graph of g(x) =| [1- sin(re')] dt at the In z…

A:

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: find dy/dx for (3x^2-2y^2)^2= cos(x-y) using implicit differentiation and simplify. then find the…

A:

Q: Find the derivative of y with respect to t. y= sin 1(10t) dy dt %3D

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

A:

Q: dy Find the derivative of the function x4 In 3y = y sin 3x + eta.

A: We have to solve the problem

Q: Find the equation of the line tangent to the graph of y = arctan (sinh(r)) at z = 0. %3!

A: Given: y=arctan(sinh(x)) Since, ddxtan-1fx = 11+fx2f'x Therefore, dydx=11+sinh2xcoshx

Q: Can you help me step by step?

A: Let y = f(u) then solves the derivative by applying the chain rule:

Q: I. Find an equation of the tangent line to the graph of t cosh (f² – 1) dt tan-l † | f(x)%3D /1+ln…

A:

Q: Determine the equation of the tangent line to the graph of g(x) = mz [1 – sin(ne')]dt at the point…

A:

Q: Consider In y = 2y3 – a? + 14 - a) Find dy using implicit differentiation. de b) Find the equation…

A:

Q: Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth.…

A:

Q: Find the slope to the tangent line of the equation y2e2x = 3y+x² at (0,3) Hint: perform implicit…

A:

Q: nd the points at which f(x) = cos² x has a horizontal tangent line. %3D

A:

Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

A:

Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

A:

Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: What is the derivative of * In(xy) = e"y – arccos(xy)?

A: We differentiate given equation

Q: Find the derivative of y with respect to x. y = In (tan -1(2x4)) dy %3D dx

A:

Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: Find the derivative of y with respect to t. -13t y = cot dy dt II

A:

Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

A:

Q: I. Find an equation of the tangent line to the graph of 1 t cosh (t² – 1) dt - f (x) = 1 tan-t 1+ln…

A: The given function is fx=∫1+lnx1tcosht2-1tan-1t dt.

Q: Find an equation of the tangent line to the graph of f(x) = | t cosh (t² – 1) dt tan-lt 1+In (x) at…

A:

Q: Find the equation of line tangent of sin(2x) cos(3x)+ sec(x) TC At x = 6. %3D

A:

Q: Compute the equation of the tangent line to f (x) = sin(Tx) at x=0.5.

A:

Q: ey sin x = x + xY %3D

A: Solution:- The given implicit function is  ey sinx=x+xy

Q: y = In(x² + 4) - x tan-1 (e) y = arctan(arcsin vx), (y = sech (tanh x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: derivative with

A:

Q: Determine the equation of the tangent line to the graph of g(x) = | [1- sin(re')] dt at the /In x…

A:

Q: Compute the high-accuracy central difference approximation for the first derivative of the function…

A:

Q: Use high-accuracy centered difference approximation to estimate the first and second derivatives of…

A: The central difference approximation to the first derivative of a function at is given by the…

Q: Determine the instantaneous rate of change of the function πt³ √x sin (TE³ 2 f(x) = x3 1 + √t at…

A:

Q: Find the slope of the tangent line to the graph of f(x) = x· 2e*cos-1t dt at x = 1 Jln x

A:

Q: 1. Find the derivative of the function:F(x)= [ (Vt arctan t)dt .

A:

Q: Find the equation of the tangent line to the graph of F(r)= 2z²+2r+1 evi dy at r 0. sech z

A:

Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

A:

Q: Find the slope of the tangent line to the graph of f(x) 2e'cos-1t dt at x = 1. In x = X'

A: Find the slope with the help of derivative of f(x) at x=1 .

Q: F(x) = x · S, 2e' cos-lt dt at x = 1 In x

A:

Q: Find an equation of the tangent line to the graph of {(=) = [. t cosh (t² – 1) dt f(x) /1+ln (x)…

A: First I have written the rule of derivative of an integral to find the slope of tangent line for…

Q: Find the derivative of t² sin t In Vt +1

A:

Q: Compute the derivative of h(sin(x)) at æ = 1/6, assuming h'(0.5) 4: %3D

A: As we know that; The Chain Rule: fgx'=f'gx·g'x Let, hfx=hsinx

Q: Determine the equation of the tangent line to the x³ + ln x graph of f(x) = sil 3 3 + 5tº dt at x =…

A:

Q: Can you help me with this problem step by step?

A: To determine the first derivative of the function.