" (iv) "x^(3)sin x^(p)

Differentiate (e^(x) sin x + x^(p) cos x)

Find the value of p for which the fucntion f(x) = ((4^(x) -1)^(3))/(sin ((x)/(p)) log_(e)(1 + (x^(2))/(3))), x ne 0 " and " f(0) = 12 (log4)^(3) , is continuous at x = 0 .

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of p for which f''(0) = 0 ?

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

Find the values of p for which the equation 1+p sin x=p^(2)-sin^(2)x has a solution

lim_(x rarr0)((4^(x)-1)^(3))/(sin((x)/(p))ln(1+(x^(2))/(3))) is equal to

If intcosx/(sin^(2/3)x+sin^(3/4)x)dx=P sin^(1/4)x+Qsin^(1/6)x+Rsin^(1/12)x-12log(1+sin^(1/12)x)+C, then the value of P+Q+R is

If p(x)=sin x(sin^(3)x+3)+cos x(cos^(3)x+4)+((1)/(2))sin^(2)2x+5 then find the range of p(x)

If quad ((sin^(m)x)/(sin^(n)x))^(m+n)((sin^(n)x)/(sin^(p)x))^(n+p)((sin^(p)x)/(sin^(m)x))^(p+) then f(x) is equal to