t cosh (t² – 1) dt f(x) = Ji+in (1) tan-'t

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

A:

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 an equation of the tangent line to the following curve at the given point. y = eX cos TX, (0,…

A: Given,          y=e9xcosπx ; 0,1

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

A:

Q: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

A:

Q: Find the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in in the…

A:

Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e*…

A:

Q: Find the equation of the line tangent to the graph of f(x) = 4 sin(x) at a = T.

A: Given,          fx=4sinx at x=π.

Q: find the tangent line of the curve (1– sin(1).tcos(1)) at the vale t(0) = T, (and so at the point(…

A: The curve is defined by the equations: x(t)=(t-sin(t))    and    y(t)=tcos(t)

Q: f(x) = t cosh (t² – 1) dt 1+ln (x) tan-lt

A: From the Fundamental theorem of calculus, If…

Q: Find an equation of the tangent line to the following curve at the given point. (0, 1) e7x COS TX,

A: Given,

Q: Find an equation of the tangent line to the graph of y = In(x2) at the point (3, In(9)). %3D *+2 ln…

A: y-y1=dydxx-x1

Q: Find the exact equation (without decimal approximations) of the tangent line in the form y = mx + b…

A:

Q: Find the derivative of y with respect to t at t=2 if a) у %3D х + sinх - cos(1 + x+x?) аnd x = (t/t…

A:

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

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

A:

Q: Calculate the derivative e10x de L9 In (t)dt using Part 2 of the Fundamental Theorem of Calculus.…

A:

Q: 1. Find the equation of the tangent line on tan-'(x²y) = cos(;x²) + xy². at (V7, 0).

A: Here is the solution

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

A:

Q: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

A:

Q: 6) Find an equation of the tangent line to the graph of f (x) = 4 ln z at the point (1, 0).

A:

Q: Find the equation of the tangent line of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

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

A:

Q: Find the equation for the tangent line to the curve  y = f(x) at the given x-value. f(x) = ex3 − 1…

A: To find the slope of the tangent at x=1 we have to find f'(1) So, slope = 3

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

A:

Q: Find an equation of the tangent to the curve at the given point. x = sin(2t) + cos(t),y = cos(2t) –…

A: Using equation of tangent formula.

Q: Let h (x) = x sin . 1. Find the x-values where h has horizontal tangent lines in the interval 0, 27.…

A:

Q: Find the equation of the tangent line to the graph of the functionf (z) = sin (7/z) at the point…

A: Given equation is                                              f(x)=sin7x we have to find tangent at…

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: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

A:

Q: Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x²…

A:

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A:

Q: Find the equation of the tangent line to the graph of h at the point (1, 0) xh += 1 = 2x2 + h where…

A:

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 an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t),    y =…

A: Given

Q: 9. What is the derivative of cos(at5 + b) with respect to t?

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: 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: 1. Find the equation of the tangent line to the following curves at a given point. . y = Vx +3 at x…

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

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes…

A: We have to find curve

Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

A:

Q: 41. Find the points on the graph of f(x) = 5- 2 sin.x, 0<x 27, at which the tangent line is parallel…

A:

Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e-X…

A: Given: f(x)=e-xln(x)

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

A:

Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

A: