Dsin2(a+y)siny Submit View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board,...
Answer to: Assume x = x(t) and y = y(t) . Find frac{dx}{dt} if x^2(y - 6) = 12y + 3 and frac{dy}{dt} when x = 5 and y = 12 . a. ...
Given that int_{2}^{6} f(x) dx = 24 and int_{2}^{6} g(x) dx = -7, what is int_{2}^{6} (2f(x) + g(x) +7) dx? Find dy/dx: y = ln(x/(1 + x^2)). If integral_3^7 (6 f(x) + 5) dx = 15, then find integral_3^7 f(x) d...
If x sin(a+y) + sin a cos(a+y) then show that dy/dx =sin^2(a+y)}{sina} View Solution If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina) View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE
Answer to: If \int^{19}_5 f(x)dx - \int^{10}_5 f(x) dx = \int^{b}_a f(x)dx, then a = ___ and b = ___ By signing up, you'll get thousands of...
Find y' and y'' . y=\sin(x^2) y'= y''= Find y''. y = sin(3x^2e^x) a) (x^2+4x+2)e^xcos(3x^2e^x)+3xe^x(x^3+4x^2+4x)cos(3x^2e^x) b) 6e^xsin(3x^2e^x)-6xe^xsin(3x^2e^x) c) 6xe^xcos(3x^2e^x)+3x^2e^xcos(3x^2e^x) d) 3(x^2+4x+2)e^x...
2. Finddydx,ifx2+y2=2xy 3. Ifx2−xy+y2=5, find the value ofy′. Quotient Rule: The process of evaluating the derivative of a fractional function by taking them to function one and function second is known ...
Use the chain rule to evaluate the derivative \frac{d}{dx} \int_0^{sin x} e^t dt. The answer should be a function of x. Using the Chain Rule, compute the following derivatives: 1. y = (2x + 3)^6\2. y = ...
If we replace {eq}g(x) {/eq} by {eq}y {/eq}, then $$\frac{dh(x)}{dx} = \frac{df(y)}{dy} \frac{dy}{dx} $$ This is called chain rule. Answer and Explanation: $$u = \sin{xy}\\ x = t^2+t\\ y=t^3 $$ Us...
Find (a) f∘g, (b) g∘f, and (c) f∘g(0) if possible. f(x)=x3,g(x)=1x Composition of Functions: The composition of functions is an operation that takes two functions at a time and generates a new function using those two functions. For example, the ...