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When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.

At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.

Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.

Q: Why is process of finding a first derivative called differentiation?

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Finding the line of best fit is called linear regression.

It is called multiplication.

It is called multiplication.

I understand this to be y3. Then the derivative is 3y2. If y is considered a so-called 'implicit function' of x then the derivative might be written 3y2 dy/dx.

To calculate the derivate of a power, where both the base and the exponent are functions of x, requires a technique called logarithmic derivation. I'll leave the details to you; it is not particularly difficult. You can look up "logarithmic differentiation" in the Wikipedia for some examples.

Related questions

differentiation.

There is no single formula for differentiation and anti-differentiation.The deriviative of a function y = f(x) is the limit of delta y over delta x as delta x approaches zero.OR:If f(x)=axn,f'(x)=(an)xn-1The deriviative of 2x3 would be 6x2.The anti-deriviative of a function is the reverse operation, i.e. the function is the deriviative of the anti-deriviative.Anti differentiation introduction:Anti differentiation is also called as integration process. It gives the reverse value of the differentiation equation. Anti differentiation is also called as anti derivative of the function. In this anti differentiation, f(x) is anti derivative of the function F(x). Anti differentiation is used for finding the area of the region under the certain curve. Anti differentiation symbol is denoted as ∫.General formula for anti differentiation:∫ xn dx = [xn + 1 / (n + 1)]+ c∫ k dx = k ∫ dx∫ udv = uv - ∫ v du∫ (w + y) dx = ∫ w dx + ∫ y dxanti-differentiation

The process by which cells develop unique characteristics in structure and function is called cell differentiation. During differentiation, cells acquire specialized features that enable them to perform specific roles in the body. This process is crucial for the proper functioning and organization of tissues and organs.

Sexual differentiation.

differentiation.

zygote, stem cells, cell differentiation zygote, stem cells, cell differentiation

differentiation.

differentiation.

As the cell in a multi cellular organism multiply they become specialized or different functions in a process called cell differentiations. A short segment of DNA that contains instructions for the development of a single trait of gene.

I think it's called cellular differentiation or stem cell differentiation.

This process is called "cell differentiation." It is when cells become specialized to perform specific functions within an organism.

This process is called differentiation. It involves the transformation of unspecialized cells into specialized cells with specific functions.