Consider the function: f(x) = 4x5 – 5x³ – 7x² + 4x + 20 dy a. Find dx d²y b. Find dx2

Q: Create 2 sample word problems with derivative functions (include solutions)

A: Solution:-We want to impose a coordinate system on the situation of the problem. So suppose that the…

Q: et f(x) = 3 Using Equation (1), find the slope and equation of the ta E x = 2.

A:

Q: f(x)=a? +bx+e The value of third derivative of the function is 6 at x=1. Find the value of a b) -1…

A: Given: f(x)=ax3+bx+c, whose third derivative of function is 6 at x=1 To find: The value of a

Q: Sketch the graph of f(x) = 2x + Vx*.

A: Given that we need to Sketch the grah of  y = 2x1/3 + x4/3  Now,  The graph is as follows

Q: An equation containing an unknown function and its derivatives

A: Differential equation

Q: 3. Find g'(x) = I 1 9x5 + 2 3x4 1 X

A:

Q: Find the derivative d (et² + 3)s A.5(ex²+3)4.ex² B. 10x(ex+3)4 ex² 2 C.5(ex+3) 2 D. 10(ex²+3)4.ex² 2

A: We use power rule

Q: D Question 10 Find the derivative. y = 3x² +9 3x2 - 6x +9 (3x2+9)² px−1(3x² - 6x + 9) z(6 • z*E)…

A:

Q: POSTTEST ding the derivatives of a function. (10pts) 1) f(a) = 5 %3D 2) f(a) = -2x %3D 3) f (x) =…

A:

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: Find the derivative of the function. y = Xx x + 3

A:

Q: Find the derivative. 3x-9 y 6x+3 MORE O3(6x + 3)-6(3x - 9) 01 2 6(3x-9)-3(6x+3) (6x+3)²…

A:

Q: PART B: a) One of the submissions for the roller coaster proposal contains the following…

A: (a)

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

A:

Q: Tangent Line. If p(x) : 2x2 + 6х3 + + 4 (a) Then p'(1) = (b) The equation of the tangent line to the…

A:

Q: From curve equation y=x²-2x+1 at (2,1) Find?

A:

Q: From curve equation y=x²-2x +1 at (2,1) Find ?

A:

Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…

A: we have to show

Q: In the financial world, there are many types of complex instruments called derivatives that derive…

A: Find the probability that the loss is at least $1000 (Price fall is below 90): Denote the change in…

Q: oblems involving the solution of a DE subject to the conditions on the function or its derivatives…

A: Topic: differential equations

Q: 9. Find the slope of the function's graph at the given point. Then find an equation for the line…

A: The given function is: f(x)=2x2+2x;              x∈-2, 4

Q: We need to use implicit differentiation in these rates of change problems because we generally have…

A: To determine whether the following statement is true or false.We need to use implicit…

Q: In the financial world, there are many types of complex instruments called derivatives that derive…

A: Let S be the price of the stock in a month.  Given that, S ~ Nμ=2, σ2=102 a.  We have to find…

Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…

A:

Q: Problem 2. Use the First Derivative Test or the Second Derivative Test to determine the relative…

A: Explanation of the solution is given below...

Q: Point Tangent line Function (1,0) 1. y = x* - 3x? + 2 2. y = x³ - 3x (2, 2, ) 2 (1,2) 3. f(x) = 4. y…

A: A  tangent to a curve is defined as a line that touches the curve at only one point. The slope of…

Q: y=x²3x (Ans. x-35 (xln 3+2))

A: find the derivative of the function