Suppose f and g are differentiable functions on an interval I. Show that if f′(x) = g′(x) for all x ∈ I and f(x0) = g(x0) for some x0 ∈ I, then f(x) = g(x) for all x ∈ I.
Suppose f and g are differentiable functions on an interval I. Show that if f′(x) = g′(x) for all x ∈ I and f(x0) = g(x0) for some x0 ∈ I, then f(x) = g(x) for all x ∈ I.
Suppose f and g are differentiable functions on an interval I. Show that if f′(x) = g′(x) for all x ∈ I and f(x0) = g(x0) for some x0 ∈ I, then f(x) = g(x) for all x ∈ I.
Suppose f and g are differentiable functions on an interval I. Show that if f′(x) = g′(x) for all x ∈ I and f(x0) = g(x0) for some x0 ∈ I, then f(x) = g(x) for all x ∈ I.
More advanced version of multivariable calculus. Advanced calculus includes multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.
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