0
I can see two likely intentions of this question. You wish to find the derivative of either:
y=7e-6x
or
y=7e-6x
For the first option, we use the fact that 7e is a constant (e is a number, not a variable, and a number times a number is still a number) to know that the derivative of the subcomponent 7e is zero. For the subcomponent -6x, we can use the power rule. Its derivative is (-6)(1)x1-1=-6x0=(-6)(1)=-6. So, in the end, we get:
y'=-6
For the second option, we use the chain rule. For a function that contains another function in itself, you must first derive the outer function and then multiply that by the derivative of the inner function. For this function, the "outer" function is ex, while the "inner" function is -6x. The derivative of ex is ex, and the derivative of -6x is -6. In the end, we get:
y'=(outer function derivative)(inner function derivative)=(7e-6x)(-6)=-42e-6x
y'=-42e-6x
Add your answer:
Earn +20 pts
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
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 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.
What is the derivative for 3x 1?
If y = 3x +- 1, the derivative with respect to x is y' = 3.
If y varies inversely as x and y equals 24 when x equals 8 find y when x is 4?
y is 12
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
Find the derivative of y equals 3cosx?
y=3 cos(x) y' = -3 sin(x)
Find the derivative y equals sq rt 7 plus 99 plus pie?
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
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 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 Y double-prime plus y equals 0?
y"+y'=0 is a differential equation and mean the first derivative plus the second derivative =0.Look at e-x the first derivative is -e-xThe second derivative will be e-xThe sum will be 0
What is the derivative of y equals xln x?
(xlnx)' = lnx + 1
What is the derivative of y equals 2x TIMES 2x?
y=(2x)2 y=2(2x) y=4x
What is the derivative of y equals aex plus be2x plus ce3x with respect to x?
if y=aex+be2x+ce3x then its derivative dy/dx or y' is: y'=aex+2be2x+3ce3x
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 y equals 36cotx?
Y = 36cot(x)Y' = dy/dx36cot(x)= - 36csc2(x)==========
What is the derivative of y equals sin times x to the power of 2?
D(y)= sin 2x
