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Why do you need total derivative and partial derivative?
The partial derivative only acts on one the variables on the equations and treats the others as constant.
What is the difference between derivative and differenciation?
derivative means rate of change of one variable w.r.t one variable while in differentition rate of change of one variable w.r.t more than one variables.
What is the derivative of 5secx?
You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.
What is the derivative of cos 2x?
f'(x)=-sin2x(2) f'(x)=-2sin2x First do the derivative of cos u, which is -sin u. Then because of the chain rule, you have to take the derivative of what's inside and the derivative of 2x is 2.
When an equation has two variables there is a number of values that the two variables could have?
If an equation has two variables, we'll call them (x,y), the variables can be any value as long as both sides of the equation have the same result. If the equation was x = y, then the variables could be (1,1), (2,2), (3,3),etc...
How do you find the directional derivative of any function?
You take the derivative using only one variable. The other variables act as constants.
How do you find a rate to a math problem?
If the function relating the two variables is differentiable, then the rate is the derivative.
Why do you need total derivative and partial derivative?
The partial derivative only acts on one the variables on the equations and treats the others as constant.
What is the derivative of square root of 3?
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
How do you find second derivative of a function?
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
What is the difference between the differentiation of the function and the partial differentiation of the function?
You can differentiate a function when it only contains one changing variable, like f(x) = x2. It's derivative is f'(x) = 2x. If a function contains more than one variable, like f(x,y) = x2 + y2, you can't just "find the derivative" generically because that doesn't specify what variable to take the derivative with respect to. Instead, you might "take the derivative with respect to x (treating y as a constant)" and get fx(x,y) = 2x or "take the derivative with respect to y (treating x as a constant)" and get fy(x,y) = 2y. This is a partial derivative--when you take the derivative of a function with many variable with respect to one of the variables while treating the rest as constants.
How do you find the second derivative?
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
What is the derivative of 5x-1?
The idea is to use the addition/subtraction property. In other words, take the derivative of 5x, take the derivative of 1, and subtract the results.
What two variables does the wind chill factor take into account?
temperature and humidity
How do you take the derivative of a trig function?
Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x
What is the second derivitive of sec x?
Write sec x as a function of sines and cosines (in this case, sec x = 1 / cos x). Then use the division formula to take the first derivative. Take the derivative of the first derivative to get the second derivative. Reminder: the derivative of sin x is cos x; the derivative of cos x is - sin x.
What is the difference between derivative and differenciation?
derivative means rate of change of one variable w.r.t one variable while in differentition rate of change of one variable w.r.t more than one variables.
