# calculus

posted by .

w=4e^sqrt(s) Find the derivative of the function.

• calculus -

w = 4e^√s

d/ds e^u = e^u du/ds
Here we have u = s^(1/2)
so, du/ds = 1/2 s^(-1/2) = 1/(2√s)

so, dw/ds = 4 e^√s * 1/(2√s)
= 2/√s e^√s

## Similar Questions

1. ### Calculus

find derivitive of 1/square root of x 1/square root of x = x^(-1/2) The derivative is -1/2 x^(-3/2) can you keep going on the problem to not have negative exponents?
2. ### calculus

Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x-(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x-(1/4x))^2). …
3. ### calculus

Find the derivative of the function below in two ways. F(x) = (x - 7 x sqrt(x)) / sqrt(x) (a) By using the Quotient Rule. (b) By simplifying first.
4. ### Calculus

Find the derivative of cos(sqrt(e^(x^3)cos(x)) I got -sin(sqrt(e^(x^3)cos(x))*((sqrt(e^(x^3)cos(x)) Do I just leave the e^(x^3)cosx alone since it's "e" or do I still have the find the derivative for it?
5. ### calculus

A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)sqrt(x+1)(<or=)10?
6. ### Calculus

Find the derivative of the function y defined implicitly in terms of x. y = sqrt(xy + 9) Please help! Thanks! :)
7. ### calculus

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
8. ### Calculus antiderivatives

find an antiderivative of the function ((t-1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t-2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again …
9. ### Calculus

Find the derivative of the function. f(x)=ln(sqrt(x)+6)
10. ### Calculus 1

Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x

More Similar Questions