d/dx(e^u) e^u(u’) Using the chain rule of differentiation, we have: d/dx(e^u) = d/dx(e^(u(x))) = d/du(e^u) * du/dx Since u is a function of x, we need to...
d/dx(a^u) a^u(lna)(u’) To differentiate a function of the form a^u with respect to x, we use the chain rule of differentiation. Let y = a^u, where a...
f(x)=x^2 f'(x)=2x Function f(x)=x^2 represents a parabola. This mathematical function will give us the square of the input value x. We can graph f(x)=x^2 by plotting various...