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Numerical Derivative l MATH l (8:) nDeriv( MATH. Numerical Derivative l MATH l (8:) nDeriv( l nDeriv(f(x),x,a) gives f ’ (a) l Try f(x)=x^3 at x=2, compare.

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Presentation on theme: "Numerical Derivative l MATH l (8:) nDeriv( MATH. Numerical Derivative l MATH l (8:) nDeriv( l nDeriv(f(x),x,a) gives f ’ (a) l Try f(x)=x^3 at x=2, compare."— Presentation transcript:

1 Numerical Derivative l MATH l (8:) nDeriv( MATH

2 Numerical Derivative l MATH l (8:) nDeriv( l nDeriv(f(x),x,a) gives f ’ (a) l Try f(x)=x^3 at x=2, compare to the computation using the power rule. MATH

3 Numerical Derivative MATH

4 Numerical Derivative Calculator uses the “symmetric difference quotient” to find the NUMERICAL DERIVATIVE

5 Numerical Derivative

6 Warning: The calculator may return an incorrect value if you evaluate a derivative at a point where the function is not differentiable. Examples: nDeriv(1/x, x,0) returns 1000000 when the result should be infinity or DNE Another Example: nDeriv(abs(x),x,0) returns 0 when the derivative does not exist because there is a corner point at x = 0

7 function window graph You can also use nDeriv to graph the derivative function y = f ' (x)

8 On calculator use nDeriv as follows: Graph

9 You should see this on your grapher:

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