d. Graph MC(x), C(x), and C'(x) for x between 0 and 4 and the vertical axis between x = -20 and x = 50. Make sure to label all of the functions.

Q: Find derivatives of the function defined as follows. y = -4e-0.3x

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

A:

Q: Solve for the 4th derivative of function K K= x3Cos√x

A:

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

A:

Q: 4. Write the equation of the line tangent to f(x) = (e* +2x +1)In(e* +2x+1), when x = 0.

A:

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…

A:

Q: Find an equation of the tangent line to the graph at the given point .

A: Given: fx=4xx2+6 We need to find the equation of the tangent line to the graph f(x) at 2,45

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

A: The objective of the question is find the equation of tangent at the point (1,5).

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

A:

Q: 14. Find the equation of the line tangent to the graph of f(x) = 2x3-x + 1 at x = -1. %3D

A:

Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

A:

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: Find an equation for the tangent to the curve at the given point. f (x) = 6/¤ – x +1, (36, 1) -

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

A:

Q: sketch the shifted exponential curves y = 1 - ex and y = 1 - e-x

A: Given  The parent exponential function y=1-ex . To find the graph of the exponential function…

Q: -2, find an If g(x) = xf(x), where f(3) = 4 and f'(3) equation of the tangent line to the graph of g…

A: Consider the given function gx=xfx

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

A:

Q: What is the decreasing and what is the constant

A:

Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1

A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π3

A: As we know that: The first derivative of the function is equal to the slope of the tangent line to…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=2 if g(2) =-4 and g'(2)=3

A:

Q: Find the lengths of the curves y = x2 - (ln x)/8, 1≤ x ≤ 2

A:

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

A:

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Find the slope-intercept equation of the line tangent to the graph of y = e when x = In 3. O y = 3x…

A: The given function is y=ex and the point x=ln3

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x²;…

A:

Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

A:

Q: find equation of both the tangent lines to the elipse x^2+4y^2=36 that pass through the point(12,3)

A:

Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…

A:

Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

A:

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

Q: Finding derivative.

A: Given,

Q: Find the slope of the line tangent to the graph of y = tan-1 x at x = -2.

A: Given: y=tan-1x at x=-2

Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

Q: x3+6x-2 dx x4+6x2

A:

Q: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

A:

Q: Find equation of a line tangent to the graph: f(x) = xm) at xo = 1

A:

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

A:

Q: i. Find the equation of the tangent to the graph of g at (4, 2).

A:

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)