If y(x) = u/v, then y' is * du Option1 Option3 du vdu Option4 Option 2

Q: ( 3x3 + 5x2 + 7x +4 dx. Evaluate x3 (x +1)

A: For the given indefinite integral, the first step in evaluation of this integral is:

Q: sin y

A: Pythagoras theorem: In a right angle triangle, Hypotenuse2=Base2+Perpendicular2 According to the…

Q: 1 se a power series to approximate the definite integral dx to 6 decimal places. 1+x4 hter the first…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2 of 5 What is the equation in slope-intercept form of the line that passes through the points (-4,…

A:

Q: f(z) = +4.52- 12-3 a) Find the first and second derivatives. f'(z) D f"(z) = b) Identify the graph…

A:

Q: ind the derivative of y = (x + 2x + 5)°. 6(2x + 2)(x + 2r + 5) 2x + 2 (x2 + 2r+ 5)6 6(x + 2x + 5)…

A: Power rule of derivative :  (d/dx) (xn ) = n x n-1

Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…

Q: Evaluate. fied -6 dr =

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: