calculus/derivatives
posted by cathy .
I need to find the derivative and can't do them when they are raised to powers? Thank You.
m(x)x^5  5x^3+7x 4)^10 (4x^9 +19)^23 this on is tuff!

Your brackets don't match , also there is no equal sign
is it ...
m(x) = (x^5  5x^3 + 7x  4)^10 * (4x^9 + 19)^23 ??
(the * means multiplication) 
the key, however, is the chain rule. If
f = u^n, then
df/dx = nu^n1 * du/dx
It's just the familiar power rule, but you have to multiply by the derivative of what's raised to the power.
For example, if you have
f(x) = (3x^24x+5)^5, then
let u = 3x^2  4x + 5.
Then all you have is
f(x) = u^5
df/dx = 5u^4 du/dx
But that's easy, because du/dx = 6x4, so the final answer is
df/dx = 5(3x^24x+5)^4 (6x4)
Respond to this Question
Similar Questions

Calculus/Derivatives
In addition, can you walk me through how to get the derivatives for these 2 statements, too? 
Calculus
show that the curves r=asin(è) and r=acos(è) intersect at right angles. can you show that the derivatives for each are the negative reciprocal of each other? 
Calculus
What is wrong with the following reasoning? 
math
I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you 
Calculus derivatives
f(a) = a + √a (a) Find the derivative of the function using the definition of derivative. 
Calculus  derivatives
Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative … 
Calculus (Derivatives)
What is the derivative of the this functon? 
calculus
Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the results … 
Calculus grade 12
a) determine the derivative of y = sin2x b) determine the derivative of y = 2SinxCosx c) shoe that derivatives in parts a) and b) are equal d) explain why derivatives in parts a) and be should be equal. 
Applied Calculus
Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first …