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Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
How do you find the derivative of y equals 7e-6x?
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Prove that a constant vector always has a perpendicular derivative?
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
What is the derivative of e7x?
The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)
What is the derivative of square root of 2?
the derivative is 0. the derivative of a constant is always 0.
How do you differentiate ex?
The derivative of ex is ex. The derivative of ex is e.
What is the derivative of e to the power of x?
The derivative of ex is ex
What is the Derivative of sine ex?
The derivative of sin (x) is cos (x). It does not work the other way around, though. The derivative of cos (x) is -sin (x).
Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
What is the derivative of e to the power of x plus x to the power of 3?
d/dx (ex + x3) = ex + 3x2
Who discovered that the derivative of ex equals ex?
The derivative of x is not x. X is the same as x^1, so you use the power rule which decreases the power by one and brings the exponent down, giving 1x^0, which is equal to 1.
Why is the function ex the natural number e raised to the power of x so special from the calculus point of view?
That's because powers that involve the power "e", and logarithms to the base "e", are simpler than other powers or logarithms. For example: the derivative of ex is ex, while a derivative with other bases is more complicated; while the derivative of the natural logarithm (ln x, or logex) is 1/x.
What does E stand for in E series?
e is a number equalling approximately 2.71828 It is special because it's derivative is the same as it [ie. d/dx (ex) = ex].
What is the second derivative of x with respect to y if y is equal to x plus e to the power of x d2x by dy2?
y = x + ex then dy/dx = 1 + ex and d2y/dx2 = ex
How do you find the derivative of y equals 7e-6x?
13
What is The Derivative Of Log Base of 10 ex?
This is how you start by using the derivative of inx formula: (1/e^x*In10)* e^x e^x/e^xIn10 our final answer will be: 1/In10
Is it derivative of or derivative from?
"Derivative of"
