MarcAlexander said:1) f(x)=3x2-7x+5
2) [itex]\frac{f(x+h)-f(x)}{h}[/itex]
Is equation 2 equal to -7?
LCKurtz said:No, it isn't. It will have x's and h's in the expression.
MarcAlexander said:1) f(x)=3x2-7x+5
2) [itex]\frac{f(x+h)-f(x)}{h}[/itex]
What is the value of equation 2?
NOTE: I'm new to Calculus. I'm trying to self teach by using the internet.
Thanks in advance. ;)
iRaid said:The answer is 6x-7 to help you, but show what you did so people can tell you what is wrong.
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It is often used to find the slope of a tangent line to a curve at a given point.
To find the derivative of a function, you can use the power rule, product rule, quotient rule, or chain rule depending on the complexity of the function. In this case, we can use the power rule to find the derivative of f(x)=3x2-7x+5.
The power rule states that the derivative of a function with the form f(x)=xn is f'(x)=nxn-1. In other words, you can take the exponent of the variable and multiply it by the coefficient, then decrease the exponent by 1.
Using the power rule, we can find the derivative of f(x) to be f'(x)=6x-7. This is because the exponent of x2 is 2, which we multiply by the coefficient 3 to get 6, and then decrease the exponent by 1 to get x1. The derivative of -7x is -7, and the derivative of a constant is 0.
The derivative is important because it allows us to analyze the behavior of a function at a specific point. It can help us determine the slope, concavity, and critical points of a function, which are important in many scientific and engineering applications.