Calculus

posted by .

Differentiate x5^sqrt(x).

Help please!

  • Calculus -

    not clear
    is it

    x(5)^√x ??

  • Calculus -

    Yes, basically, "x times 5 to the square root of x".

  • Calculus -

    use the product rule,
    you will have to know how to differentiate a function of the type y = a^u, where a is any positive number
    so
    y = (x)(5^√x)
    dy/dx = x (5^√x)(ln5)(1/2)(x^)(-1/2) + 5^√x

  • Calculus -

    Ah yes! Ok, I see what's going on. Thanks!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math calculus please help!

    l = lim as x approaches 0 of x/(the square root of (1+x) - the square root of (1-x) decide whether: l=-1 or l=0 or l=1 Let me make sure I understand the question. Do we have lim x->0 x/[sqrt(1+x) - sqrt(1-x)] ?
  2. Math Help please!!

    Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine …
  3. Calculus

    Please look at my work below: Solve the initial-value problem. y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4 r^2+4r+6=0, r=(16 +/- Sqrt(4^2-4(1)(6)))/2(1) r=(16 +/- Sqrt(-8)) r=8 +/- Sqrt(2)*i, alpha=8, Beta=Sqrt(2) y(0)=2, e^(8*0)*(c1*cos(0)+c2*sin(0))=c2=2 …
  4. Calculus

    Differentiate the given function. f(t)= 4(sqrt(t^3)) + 14/sqrt(t) - sqrt(17) f'(t)=?
  5. Calculus

    Could someone please explain this to me? Differentiate. h(u)= 10^(sqrt(u)) h'(u)= 10^(sqrt(u))*log(10)(d/du(sqrt(u))) h'(u)= 10^(sqrt(u))*((1)/(2*sqrt(u)))*log(10)
  6. calculus

    Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln y = x ln(cos x) (dy/dx)/(y)= ln(cos x) (dy/dx)= y ln(cos x) = (cos x)^x * (ln cos x) (dx/du)= x(cos x)^(x-1) * (-sin x) = - x sin(x)cos^(x-1)(x) (dy/dx)-(dx/du)= …
  7. calculus

    Differentiate. sqrt((6x^2 + 5x + 1)^3)
  8. calculus

    Differentiate. sqrt((6x^2 + 5x + 1)^3)
  9. Calculus

    Differentiate the function. g(u) = sqrt(2)u+sqrt(7u) g'(u)=?
  10. differential calculus

    differentiate g(t)=3/sqrt(t)

More Similar Questions