Exercise 1: find the derivative of the following. 1) y = sinx+2 2) y = 5cos(x+2)...

 

Transcribed Image Text:

Exercise 1: find the derivative of the following. 1) y = sinx+2 2) y = 5cos(x+2) 3) y = In(cos²x) 4) y = In(ln(tan x)) 5) y = log2 x² + log4(x² + 1) 6) y = In(e*+cscx) 7) y = /sec*(4 +x³) 8) y = cot(8x + In(5x + 1)) Exercise 2: find the following integrals. dx 1) f 2 x (In x)2 2) S 72x+3 dx 3*+4* 3) S 1 4) S dx x(3+ln x) 3+x+x? 5) S dx cos(5x) 6) S esin(5x) Exercise 3: find the derivative of y. 1) y = x² sin-1 x 2) y = sec-1(e-x') 1+tan-1 x 3) у - 2-3 tan-1 x 4) y = csc-1(2x³ + sin-1 x) 5) y = ecot-1(2x) Exercise 1: find the derivative of the following. 1) y = sinx+2 2) y = 5cos(x+2) 3) y = In(cos²x) 4) y = In(ln(tan x)) 5) y = log2 x² + log4(x² + 1) 6) y = In(e*+cscx) 7) y = /sec*(4 +x³) 8) y = cot(8x + In(5x + 1)) Exercise 2: find the following integrals. dx 1) f 2 x (In x)2 2) S 72x+3 dx 3*+4* 3) S 1 4) S dx x(3+ln x) 3+x+x? 5) S dx cos(5x) 6) S esin(5x) Exercise 3: find the derivative of y. 1) y = x² sin-1 x 2) y = sec-1(e-x') 1+tan-1 x 3) у - 2-3 tan-1 x 4) y = csc-1(2x³ + sin-1 x) 5) y = ecot-1(2x)

Answer rating: 100% (QA)

Exercise 1 Derivative of the following 1ye sinx2 dydxe sinx2 cosx 2y5 cosx2 dy... View the full answer