Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one slope on each side of each point and average answers. (Example: slope between -0.1 and 0 and slop between 0.1 and 0). You must use instantaneous rate of change calculations. Based on the chart, determine the equation of the derivative function.   X 0 1 2 3 f'(x)

Q: Find the derivative of the function. y = = *

A: For these kind of derivatives, we need to use the substitution method. Substitute the power term…

Q: . Find the derivative. y = /(x – 1)³ %3D Find

A:

Q: Find the third derivative of the function: Y =

A:

Q: Find the derivative of the function. y=x? ex y' = ]

A: y=x7ex To find y'

Q: Find the first derivative of the following functions. Use the formulas. 1. For y=√25-x^2, find the…

A: Using slope of a curve of y = f(x) at x= a is f'(a),

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the derivative of the function. y'(x) =

A:

Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: Use the Quotient Rule to calculate the derivative.

A:

Q: Find the derivative of the function.

A: To find the derivative of the function. y=tanx1+x

Q: Find the derivative. y = arccoth x² + 8 y' =

A: We use the chain rule

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

A:

Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: A town library estimates that, when the population is x thousand persons, approximately y thousand…

A: A town library estimates that, when the population is x thousand persons, approximately y thousand…

Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

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

A: We can make it easier for you.

Q: Find the derivative of the function. y = 12 + 5

A:

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: If the slope of a graph of a function is constant at a point, then the slope of the graph of its…

Q: y = + 1'

A:

Q: Find the derivative of the function. y:

A:

Q: calculate the derivative. y = xsinh x

A:

Q: Find the derivative of the function Зх + у Зx + y = Зх

A: Given function,

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: 3x Calculate up to 2nd derivative the equation g(x) = -8sin (+

A: Given: A function gx=-8sin3x2+1. The first derivative of g(x) is: gx=-8…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Find the derivative of the function Y= x^11e^x Y’=?

A:

Q: 5 b. y= sin’ x

A:

Q: find the derivative of y=y^x

A:

Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

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

A:

Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: (b) Find and simplify the derivative of the function f(x) = /

A:

Q: y= 5e* 5e

A: some important differencials

Q: Find the derivative of the function. y = x sec k x

A: The function is given as , y=x seckx. To find the derivative for the given function. Solution: The…

Q: Find the derivative of the function. y = (x² + 1) coth 91 y' =

A: we have to find the derivative of given function                 f(x) = (x2+1)coth(x6)

Q: Calculate the derivative of the function. f(x) = V 9x + x2 t'(x) (No Response) Need Help? Read It

A: Given: f(x) = 9x+x2 To find: The derivative f'(x) of the given function.

Q: 4.) y = 43 x %3D y' =

A: Given: y=43·x2

Q: Find the derivative of the function. y = − 3/(t − 2)4

A: y=-3t-24⇒y=-3t-2-4

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: 3.) Y + y = x" ן1

A:

Q: a) Determine the derivative, y (x) for the composite function below. g(x) ]V y(x) =

A: Equation of normal line

Q: x2 b) g(x) = ex

A:

Q: Find the derivative of the function - (tan(æ)). Y = y'

A:

Q: Find the derivative, but do not simplify your answer. y- (x² + x + o)(Vx = 2/x 1) y' =

A: Given that, y=x2+x+6x3-2x+1

Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: Calculate the derivative in two ways. First use the Product or Quotient Rule; then rewrite the…

A:

Q: Find the derivative of the function y=√x.

A: Given, y=x

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: