In Problems 9 and 10, evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure. 9. (a) (g • f)(-1) (c) (f° 8) (-1) 10. (a) (g •f)(1) (c) (f° g) (0) (b) (g •f) (0) (d) (f° g)(4) 6. y= g (x) (6, 5) (7, 5) (b) (g •) (5) (d) (f• g) (2) (1, 4) (5, 4) (8, 4) (-1, 3), (7, 3) (3, 1) (4, 2) (6, 2) (5, 1) (2, 2) (-1, 1), 2 4. 6 8 X -y = f(x) -2- (2, -2) (1, -1)

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

A:

Q: The point (1,2) is on the curve y=f (x), and at any point (x,y) on the curve the tangent line has a…

A:

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line…

A:

Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

A:

Q: 16. John tries to find the equation of the tangent line to the graph y=5x+1 at x=2. His calculations…

A:

Q: Choose the correct equation for the function shown in the graph. yA - 47 21 21 471 X -1 y= sin y=…

A: The given graph is

Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

A:

Q: Hi I am having trouble with finding the derivative for this problem. y=ln(7x^(2)+5y^(2)). The answer…

A: Chain Rule of differentiation: If F(x)=f(g(x)) , then     F'(x)= f'(g(x)).g'(x)

Q: Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6…

A:

Q: B In Problems 17-34, use implicit differentiation to find y' an evaluate y' at the indicated point.…

A: Given:-ey=x2+y2 ; (1, 0)differentiate both sideseydy=2xdx+2ydyeydy-2ydy=2xdxey-2ydy=2xdxdydx=2xey-2y

Q: 1 3.| y = xSin(x) + (1 – ÷x²) Cos(x) (1-**) Cos(x)

A:

Q: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

A:

Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

A:

Q: Question 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

A:

Q: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

A: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

Q: Find the slope of the graph of the function at the given point.                         f(x) = 5 cos…

A: According to the question, we have to find the slope of function fx=5 cosx-9x at the point 0,5. The…

Q: a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the…

A: a) f(x)=x(x-1)2b) y3+3xy+x4=5 at the point (1,1)

Q: Find the equation of the line that is tangent to y = ln x at x = 1.

A: Find the equation of the line that is tangent to y = ln x at x = 1.

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: 21 at the point (1, 7). Find the equation of the line tangent to the graph of the function w(x) = x2…

A: Solve for the equation

Q: 2 The equation of the tangent line to the graph y at the point (-1,2) is given by O a) y = 6x + 8. O…

A:

Q: Problem 8 Find the derivative of the function (7x2 + 2) x(3+ x) g(x) Show all steps of your…

A: The given function is

Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

A:

Q: 14. 1 Find the derivative of y = Vx + 8 5 - 6. - Provide your answer with positive exponents. Enter…

A: The solution are next step..

Q: e* tan-(x)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. If f(-1) = 3, f'(-1) = 5, g(-1) = -1, gʻ(-1) = 2, let h(x) = f(x) g(x). Find an equation for the…

A: given: f(-1)=3, f'(-1)=5, g(-1)=-1 and g'(-1)=2 h(x)=f(x)g(x). we have to find the equation of the…

Q: 3.) у %3D е2х-3

A: Derivative of a function: The derivative of a function y=f(x) .of a variable x is a measure of the…

Q: 1. The derivative of the sum or difference of two differentiable functions is to the sum or…

A: The solution is given in the next step.

Q: Find the slope of the line tangent to the graph of ƒ(x)

A: Consider the following function: fx=xx+6 Differentiate fx with respect to x:…

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: In Problems 35-40, find f' (x) and the equation of the line tangent to the graph of f at the…

A: Given query is to find the equation of tangent line.

Q: Problem 6 Please

A: To determine the coordinates of the points on the given curve where the tangent line is horizontal.

Q: 10) Find the slope of the tangent line to the graph of y = x-5x³ + 2 when x-2 11) Find the equation…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Problem 9 Find the derivative of the function y = x? cos (3x2 – 1) Show all steps of your…

A:

Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

Q: Question 2: Use this property of polynomials to calculate the derivative of 3 + x³, by first…

A:

Q: Find an equation of the tangent line to the curve at the given point.   y = 4x + 2 cos(x),    P =…

A: Equation of tangent line is ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line .

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: [1.5 Marks] B1: Find the equation of the tangent line to f(x) = 5+4x at a = 2.

A:

Q: Question 13 4 Find the derivative of y= 3/x x3 A 1 y'=3 4 y'=3 x4 1 B 6. C y' x1 12 3x2 x2 3/2 12 D…

A: Please see the answer of question 13 below. According to the guidelines of Bartleby, only the first…

Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

A: Given query is to find the derivative of the expression.

Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

A:

Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the…

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the…