(8) dx Compared to I dx x In|x| Conterges or Diverges

Q: Find the cost function for the marginal cost function. 0.02x. C'(x) = 0.07 e fixed cost is $5 C(x) =

A: To solve the integral

Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: 3. dx (x²+1)² -3 d x XVX +3, dx x2

A: Evaluate the given integrals

Q: Differentiate. dy dx y = 2x3 - 5x2 + 8x + 5 =

A:

Q: Evaluate x x-8 dx.

A: To evaluate the given integral.

Q: dx I cos (x)

A:

Q: x2+1 - dx x4-x²+1

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

A:

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

A:

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: Differentiate. dy dx y = 4x3 – 8x2 + 5x + 3 ||

A:

Q: r(4) r (3.5) ア - x * 」

A: We will solve the problem using GAMMA FUNCTION.

Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

A:

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

A:

Q: 4 x dx Y 3- SSin X

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.