What is a Derivative? In calculus, a derivative measures how a function changes as its input changes. It tells you the rate of change or the slope of the function at any given point. If you imagine a graph of a function (e.g., a line or a curve), the derivative at any point te...
Calculus is a branch of mathematics that deals with rates of change and accumulation. For example, when we want to know how fast a car is going, we can use calculus. The basic concept of calculus is the derivative. The derivative tells us how fast something is changing at a particular ...
Anti derivative of {eq}\frac {\sqrt x +7}{x} {/eq} is {eq}\int \frac {\sqrt x +7}{x}dx {/eq} {eq}\Rightarrow \int \frac {\sqrt x}{x}... Learn more about this topic: Integration Problems in Calculus | Examples & Solutions ...
Is there a simpler way to express the derivative of (sin x)^sin x? Yes, you can use the power rule to simplify the derivative of (sin x)^sin x to cos x * (sin x)^sin x * (1 + ln(sin x)). Can you explain the steps to find the derivative of (sin x)^sin x in more ...
Find y' if y= ln( x^2 + y^2) I thought this was just a regular natural log derivative combined with the chain rule. So what I got was (2x + 2y)/ (x^2 +...
The concept of a derivative is at the core of modern mathematics and Calculus. In linguistics, it is a form of a word that comes from another form, as in: “Detestable is a derivative of detest.” In chemistry, it can mean a substance that comes from another substance. For example, tr...
The symbol “dx” comes up everywhere in calculus. For example: If y is a function of x, then we sometimes write the derivative of y with respect to x as the following: When we write indefinite integrals, they are written as:
In mathematics, delta is a symbol representing a change in something. It is mostcommonly used in calculusto indicate the slope of a line tangent to a curve at a given point. Delta can also mean the difference between two values or the derivative of a function at a certain point. ...
In calculus, we would say that velocity is the derivative of position, as velocity measures the rate of change of your position. Acceleration is the derivative of velocity as it measures the rate of change of your velocity. I want to put a pin in this idea of the rate of change for ju...
Calculus Calculusis one of the most important branches of mathematics that deals with rate of change and motion. The two major concepts that calculus is based on are derivatives and integrals. The derivative of a function is the measure of the rate of change of a function. It gives an ...