Differential Equations Answers

If y=tan2x

2sec^22x
2sec2x
sec^2
sec2x

If y=5e^x/cosx,differentiate with respect to x.

A. 5e^x(cosx+sinx)/cos^2x

B. e^x(cosx+sinx)/cos^2x

C. 5e^x(cosx+sinx)/cos^3x

D. 5e(cosx+sinx)/cos^2x

Find the dy/dx, ify=(sinx)^−1

tanx
cosx
cos^2
sinx

If y=(4x−5)^6, differentiate with respect to x.

24(4x−5)^5
(4x−5)^5
24(x−5)^5
24(4x-5)

If y =cosx.sinx, differentiate with respect to x.

cos^2x−sin^2x
sin2x
cos^2x+sin^2x
cos2x

Differentiate with respect to x : y =x^2cosx.

cos^2x−sinx
x(xsinx-cosx)
sinxcosx
x(2cosx-xsinx)

Differentiate with respect to x : y =e^xsinx

e^x(sinx+cosx)
e^xcosx
exsinx+cosx
sin^2x+cosx

If y = 3x^2.e^x, differentiate with respect to x.

3x^2e^x(x+3)
3x^2e^x(x-3)
3x(x+3)
3x^2

Ify=tan(4x+1).Determine dy/dx.

sec^x
4sec^2(4x+1)
tan(4x+1)
sec^2(4x)

Find the dy/dx, ify=sin5x

cos5x
5sin4x
5cos5x
5sin5x