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Using the fact that sin(A+B) = sinA cosB...

Using the fact that `sin(A+B) = sinA cosB + cosA sinB` and the differentiation, obtain the sum formula for cosines.

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  8. Differentiate w.r.t. x the function : x^(x^2-3) + (x-3)^(x^2), for x>...

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  10. Find dy/dx if y = sin^-1x + sin^-1 sqrt(1-x^2), 0ltxlt1

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  11. If xsqrt(1+y) + ysqrt(1+x) = 0 for x lies between -1 and 1 prove that ...

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  12. If (x-a)^2 + (y-b)^2 = c^2 , for some c > 0, prove that [1+(dy/dx)^2]...

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  13. If cosy = xcos(a+y), with cos a ne +-1, prove that dy/dx = (cos^2(a+y...

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  14. If x = a(cost + t sint) and y = a(sint - tcost), find (d^2y)/dx^2

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  15. If f(x) = |x|^3 show that f''(x) exists for all real x and find it.

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  17. Using the fact that sin(A+B) = sinA cosB + cosA sinB and the differen...

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  19. If y = |[f(x),g(x),h(x)],[1,m,n],[a,b,c]|, prove that dy/dx = |[f'(x)...

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  20. If y = e^(acos^-1x), -1lexle1, show that (1-x^2)(d^2y)/dx^2 - x(dy/dx)...

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