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Derivatives: differentiation formulas

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Differentiate the following functions

f'(x)=18x^2-9
y'=frac52sqrt(x)+frac6x^3
h'(z)=-frac43sqrt[3]z^4+frac5z^43
f'(x)=(5)/(2)x^3/2-frac1sqrt(x)
g'(x)=4x+1
f'(theta)=3costheta+5sintheta
f'(x)=4sec^2x+sec xtan x
y'=7e^x-(2)/(x)
f'(x)=2pi x-sqrt(2)
f'(x)=5cdot 2^xln 2+(1)/(xln 3)
h'(t)=1+frac1t^2
f'(x)=frac1sqrt1-x^2+frac41+x^2
f'(x)=3x^2-4 and f'(2)=8.
y=(33)/(4)x-15.
(2,-11) and (-2,21).
At (4,-7).
a=2.
v(2)=-3 m/s; it is at rest at t=1 s and t=3 s.
f'(x)=frac23cbrt(x); it is differentiable for every xneq0, but not at x=0, where there is a cusp.
f''(x)=20x^3-12x-sin x.