In the financial world, there are many types of complex instruments called derivatives that derive their value from the value of an underlying asset. Consider the following simple derivative. A stock’s current price is £100 per share. You purchase a derivative whose value to you becomes known a month from now. Specifically, let S be the price of the stock in a month. If S is between £90 and £110, the derivative is wo

Q: Find the derivatives of the functions z = 4 - 3x/3x2 + x

A: Let

Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative

Q: Find the derivatives of the functions y = x-3/5 + π3/2

A: Given function is a linear function

Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2)     a=1

A:

Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: Find the derivative of (1/t-2/t^3)/(t^2-t^5)

A: we have to find derivative of given function ,after simplification we found f(t)

Q: Find the derivatives of the following: (3-х)3 1. f(x) = 4x2-2х

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

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

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

A:

Q: Find the derivative of y = 4x(3x + 5)5

A: Given : y = 4x3x+55

Q: Find first and second derivative of the given y=6x2-10x-5x-2

A:

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find the derivatives of the functions in Exercise

A: The given function is y=x-35+π32

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: find the derivatives and simplify 1- f(x)=2x^3(x^2 -2). 2-f(x)=x/x-3. 3-f(x)=3xe^x.

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

Q: Find the derivatives of the functions y = 20(3x - 4)1/4(3x - 4)-1/5

A: Given: y=20(3x−4)14(3x−4)−15

Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

A:

Q: Find the derivatives of: y=(4x2-3x)3/(5x3+2x2)2  and  the derivatives of:  y=(x3+5x2)3(x2+3x)2

A: (a) Consider the given function, y=4x2-3x35x3+2x22 The quotient rule of derivative…

Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: find the first and second derivatives

A: Given expression:  y=-3x9-1 Differentiate both sides with respect to x. Use the differentiation…

Q: Find the derivatives of the functions y = (4x + 3)4(x + 1)-3

A: here the given function as use quotient rule of derivative, which states,

Q: Find the derivatives of the functions y = 2x + 5/3x - 2

A:

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: 2x + 9y = 6x²y – 5x³ 2.

A:

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

A:

Q: Find the first 3 derivatives of f(x)=-5x^-2

A:

Q: Find the derivative of the function y=(2x+5)^4(3x+1)^-5

A: The given function is y=(2x+5)4(3x+1)-5. The negative property of exponent isa-x is 1ax. The…

Q: Find the first and second derivatives of y = 14e* - 2x5

A: We have to find out first and 2nd derivative of the given function. Here, I am attaching complete…

Q: Find the derivatives of the functions y = (2x - 5)(4 - x)-1

A:

Q: Find the derivatives of the functions y = x3 - 3(x2 + π2)

A: the given function is: y=x3-3x2+π2 we have to find the derivative of the given function.

Q: Find the derivatives of the functions y = (2x + 1)√2x + 1

A: we have to find the derivative of y=(2x+1)2x+1

Q: Find the derivatives of the functions y = 3 - 0.7x3 + 0.3x7

A: Given: y=3-0.7x3+0.3x7

Q: Find the derivatives of the functions y = (2x - 5)-1(x2 - 5x)6

A:

Q: Find the derivatives of the functions w = (2x - 7)-1(x + 5)

A:

Q: Find the derivatives of the functions y = (9x2 - 6x + 2)ex3

A:

Q: Find derivatives of the A) (2x-5)3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of y = x2 (x³ + 1)4. 3

A:

Q: Find the derivative of the function. g(x) = [*- 1 -dt -5 2+4 10 а. 841 b. 2x (x²+ 4)² 1 С. x²+4

A:

Q: Find the derivatives of the functions . 1. y = x5 - 0.125x2 + 0.25x 3. y = x3 - 3(x2 + p2) 5. y = (x…

A: Given,

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: