Differentiation Solve Problems
Calculus is a branch of mathematics developed from algebra and geometry built on two major complimentary ideas. The first idea is called differentiation and the second one integration.
Here we deals with the first major concept called differentiation which is about a vast generalisation of the slope of a line. It is the rate of change of a quantity. It permits velocity, acceleration and slope of a curve at a given point.
Differentiation is a main technique in calculus to find the derivative. Derivative is a measure of how a function changes as its input changes. A derivative can be thought of as how much one quantity is changing in response to changes in some other quantity. For a real valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. The process of finding the derivative is called differentiation.
Rules for differentiation
There are mainly 5 rules used for solving problems.
|Courses/Topics we help on|
|Discrete Mathematics||Applied Calculus I||Applied Calculus II|
|Healthcare Statistics and Research||Advanced Engineering Mathematics I
||Advanced Engineering Mathematics II|
|Introduction to Algebra||Basic Algebra||Algebra for College Students|
|Algebra for College Students||Pre-Calculus||Statistics for Decision-Making|
|Polar Co-ordinates||Area in Polar Coordinates||Solving Systems of Equations|
|Systems of Inequalities||Quadratic Equations||Matrices and System of Equations|
|The Determinant of a Square Matrix||Cramer's Rule||Ellipse|
|Hyperbola||Rate of Change||Measurement of Speed|
|Finding Limits Graphically||Higher Order Derivatives||Rolle's Theorem and Mean Value Theorem|
|Concavity and Second Derivative Test||Limits at Infinity||Indefinite Integration|
|Definite Integration||Integration by Substitution||Area of a Region Between Two Curves|
|Volume by Shell Method and Disc Method||Integration by Parts||Trigonometric Integration|
|Differential Equations||Slope Fields||Growth and Decay|
|System of Differential Equations||Parametric Equations||Complex Numbers|
|The Inverse of a Square Matrix||Parabola||Functions and Their Graphs|
|Evaluating Limits Analytically||Increasing and Decreasing Functions||Newton's Method|
|Finding Area Using Integration||Numerical Integration||Moments|
|Partial Fractions||Separation of Variables||Second Order Differential Equations|