Answer to: Determine whether the statement, if a function is differentiable at point (a, f(a)), then f(x) is continuous at x = a, is true or false...
Answer to: Determine if the function g(x) = x + 1, x less than 1; and 2\sqrt{x}, x greater than 1 is differentiable at x = 1. By signing up, you'll...
If f is a differentiable function satisfying 2f(x)=f(xy)+f(xy),∀x,y∈R+,f(1)=0 and f'(1)=1ln6, then f(7776)= View Solution If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(xy)∀x,y∈R and if f(2)=5, then find the value of f(f(2)). Vi...
Iff:R→Rsatisfying f(x-f(y))=f(f(y))+xf(y)+f(x)-1, for allx,y∈R, then−f(10)7is ……… . View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is differentiable at a point, then it is continuous at that point. If f(x) = u(v(x)...
Determine if y=(f(x))2 is concave up or down at x=1. Concave Up and Concave Down: Function y=f(x) is concave up, if graph of its derivative y=f′(x) is increasing. The function y=f(x) is concave upward if y=f″(x)>0. Function y=f(x) is c...
If the coefficient of .ω is an arbitrary differentiable function . (r) of the potential buoyancy, i.e., .δC/δω = (r), we have .∇ · r∇⊥ δC = ∇ · r∇⊥ (r) = (r)(∇r ·∇⊥r)+r(∇ ·∇⊥) (r) = 0, (22) δω An Explicit Method to ...
Based on the previous simulation results, we performed additional simulations using an arbitrary 2 µm thick 4H-SiC substrate. The idea was to try to confine the current circulation near the electrodes. InFigure 5a, we can see that the simulated I-V curves were well differentiable, contrary ...
According to the well known calculus theorem, any differentiable function must be continuous at every point in its domain, in Wagner's deduction, J1 and J2 in the Eqs. (7), (8), (9a), (9b), (10), (11) must be continuous between λ = −∞ and λ = λ*, and between λ = ...
To estimate the curvature of nuclei along each point of their perimeter, we first fit fourth-order splines to the border of the binary masks using the “UnivariateSpline” function from SciPy python library (35), then evaluate Eq. 1 using the obtained differentiable curves. Blebbiness index ...