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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?
Suppose A is a vector with real components. A can be written as <f(t), g(t), h(t)>. Since the magnitude of A is constant we have f(t)*f(t) + g(t)*g(t) + h(t)*h(t) = c, where c is a non-negative real number. Take derivative of both sides of equation we get 2*f(t)*df(t)/dt + 2*g(t)*dg(t)/dt + 2*h(t)*dh(t)/dt = 0. Divide both sides by 2, we get f(t)*df(t)/dt + g(t)*dg(t)/dt + h(t)*dh(t)/dt = 0. Thus the dot product of A and its derivative is 0. This implies the angle between A and its derivative is Pi/2. Hence they are perpendicular.
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
