missed a bracket here, should beRaptorsFan said:Homework Statement
f(x) = (2x-1)(3x-2)(5x+1) d/dx = ?
Note that I am letting (2x-1)(3x-2) = f and 5x+1 = g
Homework Equations
d/dx (fg) = f d/dx g + g d/dx f
The Attempt at a Solution
d/dx y = (2x-1)(3x-2)d/dx(5x+1)+(5x+1)d/dx((2x-1)(3x-2))
= (2x-1)(3x-2)(5)+ (5x+1)(2x-1)d/dx(3x-2)+(3x-2)d/dx(2x-1)
RaptorsFan said:[
= 5(2x-1)(3x-2) + 3(5x+1)(2x+1) + 2(3x-2)
Can someone validate this answer for me?
Differentiation is a mathematical process used to find the rate of change of a function. It involves finding the derivative of a function, which represents the instantaneous rate of change at a specific point on the function.
The product rule for 3 terms is a formula used to find the derivative of a product of three functions. It states that the derivative of a product of three functions is equal to the first function times the derivative of the second and third functions, plus the second function times the derivative of the first and third functions, plus the third function times the derivative of the first and second functions.
The product rule for 3 terms should be used when finding the derivative of a product of three functions. It is particularly useful when the three functions cannot be simplified or combined into a single function.
To use the product rule for 3 terms, follow these steps:
If the three functions cannot be simplified, leave the answer in its expanded form.
Yes, the product rule for 3 terms can be extended to products of any number of terms. The formula will have additional terms for each additional function in the product. However, it is often more efficient to use other methods, such as the chain rule, when dealing with products of more than 3 terms.