Answer to Question #76532 in Calculus for Vyea

Question

1. Find the values of the following derivatives. Use Use f^' (x)=lim┬(h→0)⁡〖(f(x+h)-f(x))/h〗

a) ├ ds/dt┤| 〖┬(t=-1)〗⁡ if s=1-3t²
b) ├ dy/dx┤| 〖┬(x=√3)〗⁡〖 〗 if y= -1/x
c) ├ dr/dθ┤| 〖┬(θ=0)〗⁡ if r= 2/√(4-θ)
d) ├ dw/dz┤| 〖┬(z=4)〗⁡〖if w=z+√z〗