**Calculus Questions and Answers Study.com**

Find the centroid of the region with uniform density bounded by the graphs of the functions f(x) = x 2 + 4 and g(x) = 2x 2. Show Step-by-step Solutions How to find the center of mass of a region using calculus?... The integral comes from not only trying to find the inverse process of taking the derivative, but trying to solve the area problem as well. Just as the process of differentiation is used to find the slope at any point on the graph, the process of integration finds the area of the curve up to any point on the graph.

**Calculus Questions and Answers Study.com**

To find the x-intercept, we set y = 0 and solve the equation for x. Similarly, we set x = 0 to find the y-intercept. Similarly, we set x = 0 to find the y-intercept. c) Symmetry: Determine whether the function is an odd function , an even function or neither odd nor even.... Note: When you are asked to find the gradient of a tangent at x = a, we find or f'(x) or y’, and substitute it in the gradient or differential function with x = a. Example 1 : Find the gradient of the tangent to a curve y = x 3 + 2x +4 at x =1

**Using Derivatives to Find Acceleration How to Calculus**

5/01/2019 · To take the derivative of a function by using the definition, substitute x plus delta x into the function for each instance of x. Then, substitute the new function into the limit, and evaluate the limit to find the derivative. If you're finding the derivative of a polynomial with a function to the degree of n, use the power rule by multiplying the coefficient by the exponent and subtracting 1 how to get rid of lip herpes overnight That’s how to find maximum profit in calculus! Tip: For answering this type of question on the AP calculus exam , be sure to record this figure using the unit of …

**How to calculate the area of a rectangle using calculus**

How the Riemann integral is normally defined is using areas of rectangles who’s area is assumed to be [math] \ell h [/math]. We can come up with a much better definition of the integral, the Lebesgue integral, but unfortunately this still assumes the area of a rectangle. how to find center in photoshop The slope of a line between two points is the rise, or difference in y values divided by the run, or difference in x values. The slope of a function y(x) for a certain value of x is defined to be the slope of a line that is tangent to the function at the point [x, y(x)].

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### Finding the Derivative of a Function in Calculus

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## How To Find Y Using Calculus

Problem 3: Find the distance from the point (1,2,-1) to the plane given by the equation x - y + z = 3. Solution to Problem 3: One way to find the distance from a point to a plane is to take a point (x,y,z) on the plane; find the distance between this point and the given point and minimize it.

- The slope of a line between two points is the rise, or difference in y values divided by the run, or difference in x values. The slope of a function y(x) for a certain value of x is defined to be the slope of a line that is tangent to the function at the point [x, y(x)].
- Between the points x=0 and x=1 (i.e. the left half of the triangle) we want to find the area between y=x and y=0. For the right half of the triangle we need to find the area between y=2-x and y…
- Algebra finds entire sets of numbers — if you know a and b, you can find c. Calculus finds patterns between equations : you can see how one equation (circumference = 2 * pi * r) …
- We learned from the first example that the way to calculate a maximum (or minimum) point is to find the point at which an equation's derivative equals zero. The …