80306 If \(x=e^{y+e^{y+e^{y+e}}}\) then \(\frac{d y}{d x}=\)

80307 If \(y=\cos ^{2}\left(\frac{5 x}{2}\right)-\sin ^{2}\left(\frac{5 x}{2}\right)\), then \(\left(\frac{d^{2} y}{d x^{2}}\right)=\)

80308 If \(y=2^{a x}\) and \(\left(\frac{d y}{d x}\right)_{x=1}=\log 256\), then \(a=\)

80309 If \(x^{p} y^{q}=(x+y)^{p+q}\), then \(\frac{d y}{d x}\) is equal to

80306 If \(x=e^{y+e^{y+e^{y+e}}}\) then \(\frac{d y}{d x}=\)

80307 If \(y=\cos ^{2}\left(\frac{5 x}{2}\right)-\sin ^{2}\left(\frac{5 x}{2}\right)\), then \(\left(\frac{d^{2} y}{d x^{2}}\right)=\)

80308 If \(y=2^{a x}\) and \(\left(\frac{d y}{d x}\right)_{x=1}=\log 256\), then \(a=\)

80309 If \(x^{p} y^{q}=(x+y)^{p+q}\), then \(\frac{d y}{d x}\) is equal to

80306 If \(x=e^{y+e^{y+e^{y+e}}}\) then \(\frac{d y}{d x}=\)

80307 If \(y=\cos ^{2}\left(\frac{5 x}{2}\right)-\sin ^{2}\left(\frac{5 x}{2}\right)\), then \(\left(\frac{d^{2} y}{d x^{2}}\right)=\)

80308 If \(y=2^{a x}\) and \(\left(\frac{d y}{d x}\right)_{x=1}=\log 256\), then \(a=\)

80309 If \(x^{p} y^{q}=(x+y)^{p+q}\), then \(\frac{d y}{d x}\) is equal to

80306 If \(x=e^{y+e^{y+e^{y+e}}}\) then \(\frac{d y}{d x}=\)

80307 If \(y=\cos ^{2}\left(\frac{5 x}{2}\right)-\sin ^{2}\left(\frac{5 x}{2}\right)\), then \(\left(\frac{d^{2} y}{d x^{2}}\right)=\)

80308 If \(y=2^{a x}\) and \(\left(\frac{d y}{d x}\right)_{x=1}=\log 256\), then \(a=\)

80309 If \(x^{p} y^{q}=(x+y)^{p+q}\), then \(\frac{d y}{d x}\) is equal to