Given f(x) + x°(f(x))' : - 8 and f(1) = 2, answer the following: %3| f'(1) =

Q: Find a formula for df 1 dx for the function below using the Derivative Rule for Inverses. f(x) = (5…

A: Given,         fx=5-3x3We know that,           The Derivative Rule for inverses is given by…

Q: Find the indicated derivative. 32 df If f(x) =F + 12 x, find dx x = 4 df dx x = 4

A: Topic:- Derivatives

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: d x4 – 5x? + 7 dx x2 + 1

A:

Q: Find the indicated derivative. df If f(x) = x3, find dx 8 df dx |x = -11 || X 32 X = 10 X 1 2 11

A:

Q: for the function f(x) = 2 cos(45x)o , determine: the instantaneous rate of change at x = 12. you…

A:

Q: Find the derivative d/dx of the following x² +1 x + 1

A:

Q: Givenf (x) = ln x, what is the derivative function f' (x), and what is its domain? f' (æ) = e², for…

A:

Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

A:

Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: What is the decreasing and what is the constant

A:

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: dy Find of the following function: dx (x² + 1)° e-2+

A: The derivative is calculated as follows:

Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: solve for y in terms of t or x, as appropriate ln (c - 2y) = t

A:

Q: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

A:

Q: Find the indicated derivative. dp for p = 1 - () 4q dp P. %3D

A:

Q: _xe. f(x) = (1+e*)

A: Here we have to find the differentiation of given function. The solution is following.

Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

A:

Q: proportional

A:

Q: Find the equation of the line tangent to the graph of f (x) = 1+ e-*for a. x = 0 b. x = -1

A: f(x) = 1 + e-x

Q: dx is is equal to: 2x/4-(2x)2

A:

Q: Find The Domain of the Function. y = sin(log, x²]

A:

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: The flash point of an engine oil is 363°F. What is the absolute flashpoint temperature in K and R?

A:

Q: d -y(x) if e²-y = sin a d.x

A: We will solve the following

Q: dy Find dx implicitly e +x²-y² = (

A: Sorry student as per our guidelines we have to answer only first question of multiple questions are…

Q: If f(x)=3^x x^3, what is dy/dx?

A: Solution: Here  f(x)=3xx3

Q: Use the table to the right to find the given derivative. d dx Ixf(x)]| |x = 4 Ix34 d [xf(x)]| dx…

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Q: Then E(((X + 2Y)'D is equal to:

A:

Q: For -e y=ln 2t find y ' when x=e-

A:

Q: Find the value of (x)) dx if f(x) dx=11 and f(x) dx=3.

A: here we have to find the integral vaule

Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

A:

Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: A pitcher of buttermilk initially at 25°C is to be cooled by setting it on the front porch, where…

A:

Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

A:

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: By using the definition of the derivative, find d/dx   1/(2−x).

A:

Q: If f(x) dx = 33 and g(x) dx 14, find [4f(x) + 5g(x)] dx. P Type here to search

A: We have to find

Q: d (2a*e" + 4a*) dx Calculate the derivative:

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.