How to define each of the following functions and have Matlab compute the indicated derivative, and the value of the derivative for the specified inputs.

1) f(x)=x^7-3x^5+5x^4+3; f'''(x); x=1:5

2) g(x)=e^(xsinx)+2ln(x^2+1); g''(x); x=-pi:pi/4:pi

3) h(x,y)=(x^2+y^2)/((x+y)^2); h(xy)(x,y);e valuate at all pairs(1,1),(2,2),(3,3),(4,4),(5,5)

4) t(x,y,z)=(x^3)(y^2)(z)+((x^2)+(y^2)+(z^2))^(1/2); t(xyz)(x,y,z); evaluate at the eight vertices of the cube with coordinates atx=+-1, y=+-1, z=+-1

[KSSV]

Home work...

Answer 1

[Walter Roberson]

Example:

syms p(x,y,z)
p(x,y,z) = x^3 * sin(y) * exp(z);
dpxyz = diff(p,x,y,z);
r = subs(dpxyz(x,y,z), {x, y, z}, {linspace(-5,5,10), 1:3:30, logspace(-3,-1,10)})