0
Add your answer:
Earn +20 pts
What is 1 over h to the negative 8 power?
1/h-8 = (1/h)-8 = h8
What is the derivitive of 1?
The derivative of a constant is always 0. To show this, let's apply the definition of derivative. Recall that the definition of derivative is: f'(x) = lim h→0 (f(x + h) - f(x))/h Let f(x) = 1. Then: f'(x) = lim h→0 (1 - 1)/h = lim h→0 0/h = lim h→0 0 = 0!
What is the Proof of the derivative of the third root of x?
You can easily derive it from formula for the derivative of a power, if you remember that the cubic root of x is equal to x1/3. This question asks for the proof of the derivative, not the derivative itself. Using the definition of derivative, lim f(x) as h approaches 0 where f(x) = (f(a+h)-f(a))/h, we get the following: [(a+h)1/3 - a1/3]/h Complete the cube with (a2 + ab + b2) Multiply by [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] / [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] This completes the cube in the numerator, resulting in the following: (a + h - a) / (h × [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3]) h / (h × [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3]) h cancels 1 / [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] Now that we have a function that is continuous for all h, we can evaluate the limit by plugging in 0 for h. This gives 1/[a2/3 + a1/3 × a1/3 + a2/3] Simplify a1/3 × a1/3 1/[a2/3 + a2/3 + a2/3] (1/3)a2/3 or (1/3)a-2/3 This agrees with the Power Rule.
How do you find the derivative of -5X by using limit process?
The derivative of f(x) is lim h-->0 [f(x+h)-f(x)]/h. So let f(x) = -5x. The derivative is lim h-->0 [-5(x+h)- -5(x)]/h = lim h-->0 [-5x - 5h + 5x]/h = lim h-->0 -5h/h Since the limit h-->0 of h/h is 1, the derivative is -5
What is the derivative of f of g of h of x using the chain rule?
f'(g(h(x)))*g'(h(x))*h'(x) where the prime denote a derivative with respect to x.
What is the derivative of 485?
The derivative of any expression is the rate at which it changes. A constant, such as a number made from digits, doesn't change, so its derivative is zero. 485 is a constant. It doesn't change, so its derivative (the rate at which it changes) is zero. You can also take any constant, call it c, and apply the definition of a derivative using limits. Lim as h goes to 0 of {f(x+h)-f(x)}/h becomes lim as h goes to 0 of (c-c)/h which is 0
How do you evaluate this h with the power of 3 over h with the power of 8?
h3/h8 = h-5 = 1/h5
Prove that if vector A has constant magnitude then its derivative is perpendicular to vector A?
If vector A has constant magnitude, then its derivative will be tangent to the direction of vector A. Since the derivative is perpendicular to the tangent vector, it will be perpendicular to vector A. This is because the derivative represents the rate of change of vector A with respect to time, which is perpendicular to the direction of a vector with constant magnitude.
What conditions make G always negative?
G is always negative when H is negative and S is positive.
What are derivates?
The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.
Why does hydroxide have a negative charge?
Hydroxide (OH-) has a negative charge because it has gained an extra electron, giving it a net negative charge of -1. This extra electron is acquired when a hydrogen ion (H+) is donated to the hydroxide ion as part of a chemical reaction.
What are the release dates for Hulk and the Agents of S-M-A-S-H- - 2013 Into the Negative Zone 1-12?
Hulk and the Agents of S-M-A-S-H- - 2013 Into the Negative Zone 1-12 was released on: USA: 17 November 2013
