How to find where a function is differentiable?Find A and B given that the function, f(x) is differentiable at x=1. f(x)= \begin{cases} x^2-5 & x<1 \ Ax^2+Bx & x \geq1 \end {cases}Given that s^2 = x^2 + y^2, where x and y and s are differentiable fu...
If {eq}z=f(x,y){/eq}, where {eq}f{/eq} is differentiable, and {eq}x=g(t), \ g(1)=-9,\ g'(1)=7, \ f_x(-9,5)=9, \ y=h(t), \ h(1)=5, \ h'(1)=-2, \ f_y(-9,5)=-4{/eq}, find {eq}\fr...
Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand g(x) = 2x2. The derivative following the chain rule then becomes 4x e2x^2. If the base of the exponential function ...
Find whether the function f(x)=[x] is continuous at (a)x=(4)/(3)(b)x=3... 06:36 f(x)={(x[x],if 0 le x< 3),((x-1)[x],if 3lexle4)) where [x] is the grea... 07:57 If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whethe... 01...
关于高数的题目.英文版的.suppose y is defined implicity as a function of x by the following equations,where g is a given differentiable function of one variable.find an expression for y'.(a).xy=g(x)+y^3 (b).g(x+y)=x^2+y^2
{/eq} But that is not always possible. Luckily we have a theorem that simplifies things a bit for us. Suppose {eq}f {/eq} is a differentiable function with an inverse. Then derivative of the inverse function, {eq}f^{-1...
I need to find out whether this function is differentiable at(0,0)(0,0)and(1,0)(1,0)and finddf(x,y)df(x,y)where the differential exists. I have already done the following: ∂f∂x=x2y+2y32(x2+y2)54,∂f∂y=y2x+2x32(x2+y2)54∂f∂x=x2y+2y32(x2+y2)54,...
What is the objective function (the thing that you are trying to maximize)? It looks like it might be P(k), but I am really not sure, especially because I do not know what P(0) means, and perhaps you really should be writing P(k,m,s).
Find the inverse of the function: f: R rarr (-oo,1)gi v e nb y\ f(x)=1... 02:42 f:(2,3)->(0,1) defined by f(x)=x-[x],where[dot] represents the great... 04:59 Find the inverse of the function: f(x)={(x^3-1, ,x<2), (x^2+3,xgeq2)} 03:50 Find the...
, where f is differentiable and x=g(t),g(3)=9,g′(3)=9,fx(9,−8)=8y=h(t),h(3)=−8,h′(3)=−4,fy(9,−8)=−7 find dzdt, when t=3Chain Rule for Parametric FunctionsThe Chain Rule for Differentiati...