Let F = (t + 4) i +² sin(41) j+ t^k, G = e' i+ 4f* cos(t) j+ e$t* k and 512 -i+ 4² j+te²ª k 1 +t H = Find the vector derivative (1) F' (2) Gʻ (3) Н' —
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- find the first and the second derivative of these equation , first as a function of z then as a function of t. f1(z, t) = A e-b(z-vt)2 , f2(z, t) = A sin[b(z − vt)] , f3(z, t) = A /b(z − vt)2 + 1 f4(z, t) = A e-b(bz2+vt) , and f5(z, t) = A sin(bz) cos(bvt)3Calculate the derivative dy for the parametric equation x=t7+t³+ln(5t + 1), y = e4t²_ +t6 giving your answer in terms of t.2) Find second derivative d'F/dt? of 3t2- 2 F2 = 13 and find it at (t,F) = (-1,2)