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Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Wiki User
∙ 11y ago
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
Wiki User
∙ 11y ago
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How do you find the derivative of y equals sin8x?
Derivative of sin x = cos x, so chain rule to derive 8x = 8 , answer is 8cos8x
What is the derivative of 3cosx2?
I'm assuming your question reads "What is the derivative of 3cos(x2)?" You must use the Chain Rule. The derivative of cos(x2) equals -sin(x2) times the derivative of the inside (x2), which is 2x. So... d/dx[3cos(x2)] = -6xsin(x2)
What is the derivative for x0?
f'(x)= 0x^-1=0anything multiplied by zero equals zero
How do you find the equation of a tangent line to the graph of fx equals x cubed and x equals -2?
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
Why the second derivative negative for Maxima?
When you solve for the 2nd derivative, you are determining whether the function is concave up/down. If you calculated that the 2nd derivative is negative, the function is concave down, which means you have a relative/absolute maximum, given that the 1st derivative equals 0. To understand why this is, think about the definition of the 2nd derivative. It is a measure of the rate of change of the gradient. At a maximum, the gradient starts positive, becomes 0 at the maximum itself and then becomes negative, so it is decreasing. If the gradient is going down, then its rate of change, the 2nd derivative, must be negative.
What is the derivative of xi equals i?
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
What is the derivative of 10x at x equals?
The derivative of 10x is 10. This is irrespective of the value of x.
Derivative of x equals 5x plus 5x?
x = 10x, so derivative = 10
Is e equals mc2 calculus?
No. It's physics.
When does cos x equal -sin x?
The derivative of cos(x) equals -sin(x); therefore, the anti-derivative of -sin(x) equals cos(x).
How do you find the mean of x over y equals a over b?
Find the derivative of Y and then divide that by the derivative of A
What is the double prime of 5x?
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
What is the derivative of 40xy where x equals 2 and y equals 2?
- the derivative with respect to x is 40y - The derivative with respect to Y is 40xSo, since both x and y equal 2, both derivatives yield 40*2 = 80
What is the derivative of x2 plus 6 divided by 2?
Following the correct order of operations: derivative of x^2 + 6/2 = derivative of x^2 +3, which equals 2x
What is the derivative of y equals xln x?
(xlnx)' = lnx + 1
If x equals 4 then 6 plus 2x equals?
This is not Calculus. 6 + (2*4 = 8) = 14.
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
