Find the derivative of the function. f(x) = sin-¹(7x) Step 1 Wo rocall that the derivative of the funghi..

Q: Find the first and second derivatives of the function.

A: Given  fx=x8x+5 Using quotient rule to find the derivative of f(x)         fuv=v.u'-u.v'v2…

Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. If f(x)=5x^3+6e^x then f′(x)= and f′(0)= 2. If f(x)=5ln(x)+10/x then f′(x)= and f′(1)=

A:

Q: Area of the SHADED region is 277 m2.  Find the length of the [radius] Find the length of the…

A:

Q: Find f(g(x)] and g[f(x)]. f(x) = 5x +9; g(x) = 4x-7 OA. f[g(x)]=20x+26 g[f(x)]=20x-29 OB.…

A: f(x)=5x+9g(x)=4x-7(i) f[g(x)], put x=4x-7 in f(x)

Q: Solve for x. log3 (9) log3(x) = 6 X = (Separate answers by a comma.) If the answer is radical use…

A: Given equation:- log39-log3x=6

Q: If a number is divided by 8 the remainder is 3, if that number is divided seven times by 8 then the…

A: The given data is: If a number is divided by 8 the remainder is 3 Let the number be x Let the…

Q: Question Suppose f(x) is continuous at x = 8, f(8) = 5, and f'(8) = -1. Select all statements that…

A: here we have to choose the correct option.

Q: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising…

A:

Q: 1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify a.…

A:

Q: Evaluate the double integral rydA, where R is the region enclosed by y = √™, y = 6− x and E. none of…

A: Topic = Area Correct Option = D. 50/3

Q: Consider the following. x² x + 4 f'(x) = Find the derivative of the function. f(x) m = y = = x² + 8x…

A:

Q: et f(x) = xe. Find where f is increasing and decreasing, and concave up and concave down.

A:

Q: Find the particular solution to the differential equation (1+x²)(1+ y²) = xyy' given the initial…

A:

Q: increasing decreasing g(x) = x4 - 18x² + 5

A:

Q: What is the equivalent radian measure for the degree measure? Select True or False for each…

A: Given: 270 deg is equivalent to (3pi)/2 150 deg is equivalent to (2pi)/3 210 deg is equivalent to…

Q: (a) Find an equation for the tangent line to the 12-level curve of the function f(x, y) = 2x2 + 4y2…

A:

Q: b) f(x) = x² - 12x + 55 on the interval [6, ∞); c = 20. Note that f(7) = 20. a = (ƒ-¹)'(c) =

A: Please see the below picture for detailed solution.

Q: doesn't make sense. can you please explain a bit better?

A:

Q: Let g(x) be the inverse of f(x) = x³ + 5x + 2. Note that f(1) = 8. Calculate g(8), without finding a…

A: Given that g(x) is inverse of f(x)=x3+5x+2,  and f(1)=8

Q: (2n-1)! n! (c) [d) { cos(x)} n

A: If the limit at infinity of the sequence exist then sequnce is convergent.

Q: 24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0? 23…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: 2. The equation y = cal is the one-parameter family of solutions of which of the following…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: What is the equivalent radian measure for the degree measure? Select True or False for each…

A:

Q: Find the derivative of the function, using chain rule. f(?) = cos(?2)

A:

Q: 215. y = 6u³, u = 7x - 4

A: Topic = Derivative

Q: Below you will find a set of exercises that include the thematic axes stated at the beginning of…

A: To find out which supplier is the most economical for each work, we need to calculate the total cost…

Q: Find the volume of the solid that results when the region bounded by y = x and y=x², from x = 0 to…

A: Given Data : Here we have given two curves y=x and y=x2 form x=0 to x=1.   Required : We have to…

Q: Given the graph below, find the following: a. h(-1) = e.h(1) = i.h(3) = m b. h(x) = f. h(x) = j.h(x)…

A:

Q: A book store manager observes that the number of magazines sold seems to vary inversely as the price…

A:

Q: 3. Let (an) and (b) be sequences. Suppose that (an) converges to 0. (a) Using the definition of…

A:

Q: Given: z = x³ + xy¹, x = uv³ +w³, y=u+ve™ дz θω Find when u = —2, v = 2, w=0

A: Given query is to find indicated derivative.

Q: Find the derivative of the function. dy dx y = log5V5x+ 2 =

A:

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A:

Q: Determine whether the series is convergent or divergent. sin² n n5 +2 n = 1 O convergent O divergent…

A: We have to check whether given series is convergent or divergent.

Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

Q: Let z(x, y) = -7x² ++ 3y² where x = s + 9t & y = -98 + 6t. = Calculate Oz əs Oz Ət дz ds and Oz Ət…

A:

Q: Consider the following functions. f(x): = 2x + 5, g(x) = 4x 1 Find (f o g)(x). 8x + 3 Find the…

A: Given f(x)=2x+5g(x)=4x-1   We are required to find(fog)(x)Domain of (fog)(x)(gof)(x)Domain of…

Q: Q8.2 If y = log₂ simplify. (2x + 1)5) √x² +1 then find y'. You must show all your work but you do…

A:

Q: D In each of Problems 9 through 16: a. Find the solution of the given initial value problem in…

A: Given:

Q: Use a tangent plane to approximate the value of the following function at the point (5.1, -4.1).…

A:

Q: 2. Calculate 5(1+2x³) dx by using: S (a) Calculate in term of n the sum = f(x) 4x to approximate the…

A: Given : ∫051+2x3dx a) Let I = ∫051+2x3dx fx=1+2x3, h=5-0n=5n, a=0, b=5

Q: 3. Let A = a. b. 1-2 3 1 1 1 Find the Null space of A. Find a basis for Null space of A. c. Find the…

A:

Q: hypotenuse

A:

Q: Determine from the given graph whether the function has any absolute extreme values on (a, b). Then…

A:

Q: 31. Evaluate W(1-x, x, x²) (A) 2 (B) 2x (C) -2x (D) -2 32 The roots of the auxiliary equation…

A:

Q: ind the critical points, domain endpoints, and local extreme values (absolute and local) for the…

A: Please see the below picture for detailed solution.

Q: 3. Show that there are no tangents to the curve f(x) = 9x³ + 2x² that are parallel to the line 2y +…

A:

Q: 1. Determine the correct equation for the line passing through the point (4, –4) and parallel to the…

A: we need to determine the equation of line passing through (4, -4) and parallelto the line x+2y=10.

Q: 3. Evaluate the following piecewise defined function at f(8), f(-1) and f(6). x² + 6x ifx 6 f(x) =

A: Topic = Function