Related to Differentiable function:Continuous function DERIVATIVE. Coming from another; taken from something preceding, secondary; as derivative title, which is that acquired from another person. There is considerable difference between an original and a derivative title. When the acquisition is original,...
Related to differentiable:Differentiable function dif·fer·en·tia·ble (dĭf′ə-rĕn′shə-bəl, -shē-ə-) adj. 1.Capable of being differentiated:differentiable species. 2.MathematicsPossessing a derivative. dif′fer·en′tia·bil′i·tyn. ...
Let us consider a function with two variables {eq}z=f(x,y) {/eq}. Then, the function is said to be differentiable at a point {eq}P_0(x_0,y_0) {/eq} if the directional derivative of the function at {eq}P_0 {/eq} exists in the direction of any unit vector {e...
Let y be a differentiable function of x. Find the equation of the tangent line to the curve e^{y^2} - x + 1 at the point (1, 0). lf f(x)=2x+\frac{3}{x},find {f }'(-2) using the definition of derivative. Use this to find the equatio...
function defined on some interval I, ∈I, ∈I ,if the increment of the dependent variable y=f( )-f( ) can be expressed as △y=A△x,where A is a constant which is independent of △x ,then we say that f(x) is differentiable at ,and A△x is called the differential of y=f(x...
(redirected fromdifferentiable) Dictionary Thesaurus Medical Legal Encyclopedia Wikipedia Related to differentiable:Differentiable function Derivative A financialcontractwhose value is based on, or "derived" from, a traditionalsecurity(such as astockorbond), anasset(such as acommodity), or amarket index....
If the function of x isdifferentiable, the differential Partial differentiation. Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 5|Various Accordingly the function is notdifferentiableat any point. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3|Various ...
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,thenwesaythatf(x)isdifferentiableat,andA△xiscalledthedifferentialofy=f(x)atcorrespondingtotheincrementA△xoftheindependentvarable,denotedbydy,i.e.dy=A△x.由定义知:定理:y=f(x)在可微旳充分必要条件是f(x)在处可导,且当f(x)在点可微时,其微分一定是(1)必要性证明Theorem:Afunctionisderivableatx...
BDifferentiable function - definition on a manifold Hi, a basic question related to differential manifold definition. Leveraging on the atlas's charts ##\left\{(U_i,\varphi_i)\right\} ## we actually define on ##M## the notion of differentiable function. Now take a specific chart ##\lef...