# What is the product rule for derivatives?

*If this is a homework assignment, please consider trying to
answer it yourself first, otherwise the value of the reinforcement
of the lesson offered by the assignment will be lost on
you.*

The product rule for deriviatives is d/dx f(x)g(x) = g(x) d/dx f(x) + f(x) d/dx g(x).

Think about it. You treat this as two partial deriviatives, one
with f(x) and the other with g(x). In each case, the alternate is
treated as constant, and can be pulled out of the deriviative.
*Yes, I know, partial deriviatives is part of multi-variate
calculus, which is second year, but I'll leave the first year proof
to the reader.*

### What is the product rule of exponents in Algebra?

The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents. The above answer translates to the following Algebra rule: xm * xn = xm+n Here is an example: x5 * x2 = x5+2 = x7

### If f(x) (pi-x) sec2(x) then f'(pi4)?

The browser used for posting questions on this site is rubbish. It is quite useless for mathematics since it strips out most symbols so that we cannot tell what the question is meant to be. If f(x) = (pi - x)*sec2x then f'(x) = (pi - x)*2*sec2x*tan(x) - sec2x Then, if it is f'(pi/4) that you require, the answer is 3*pi/4 - 1/2.

### What is the Product rule for square roots?

the product rule is included in calculus part. Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two…

### What is derivative market?

derivatives are anything that "derives" its value from another instrument. Options are derivatives of stocks or indexes. Where they trade is the market. or, A derivative can be defined as something which derives its value from an underlying product being a stock, currency, commodity or anything that carries a market price. The market price of a product is subject to fluctuations due to various factors effecting its demand & supply thereby associating itself to various…

### How many ways can you calculate a derivative in calculus?

There are multiple rules of differentiation in calculus, and each one works best in a different situation. For example, there is the product rule, quotient rule, and power rule. These work well for polynomial functions. Trigonometric functions are differentiated in their own way. Derivatives of exponential functions (for example, 7^x), are sometimes calculated by first taking the natural log of both sides of the equation y=7^x. Piecewise functions can contain multiple types of expressions, and…

### How would you describe the rule for determining whether the product of many natural numbers is even or odd?

I would describe the rule as one of the simplest possible. The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even. I would describe the rule as one of the simplest possible. The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even. I would describe the rule…

### What is the relation of the exponent rule and the power rule?

The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents. The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is…

### When uncertainty in position of an electron is zero what will be uncertainty in momentum?

Infinite - nothing can be known about the momentum in this case. The rule is that the product of the uncertainty of both can't go below a certain value. Infinite - nothing can be known about the momentum in this case. The rule is that the product of the uncertainty of both can't go below a certain value. Infinite - nothing can be known about the momentum in this case. The rule is that the…

### Can I copy a copyright product?

If you legally own a product you are allowed to make a "back up" copy for personal use. However unless your copies would qualify as "back up" or "fair use" no you can't legally duplicate a copyrighted product. It would be an infringement of the original authors' rights to control duplication and creation of derivatives of their work.

### What do you mean by derivatives?

A derivative can be defined as something which derives its value from an underlying product being a stock, currency, commodity or anything that carries a market price. The market price of a product is subject to fluctuations due to various factors effecting its demand & supply thereby associating itself to various risk factors. SO, derivative is a by-product of the core product which can be used to hedge, speculate & also undertake arbitrage activities.

### What are 3 words in the English language that begin with the letters dw?

Words beginning with dw include: dwarfishnesses dwarfishness dwarfishly dwarfisms dwellings dwindling dwarflike dwarfness dwarfing dwellers dweebish dweebier dwindles dwindled dwindles dwarves dwarved dwarfer dwelled dweller dwining dwined dwarfs dweebs dweeby dwell dwarf dwelt dweeb dwine (and the proper name Dwayne)