Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
WHAT R THE GENERAL RULES OF DERIVATIVES, PLESE GIVE ME GENERAL IDEA ABOUT EACH OF THEM.
THANKS..
The general rules are as follows:
The Constant Rule The derivative of a constant function is 0. That is, if c is a real number, then d/dx[c] = 0. The Sum and Difference Rules The sum(or difference) of two differentiable functions is differentiable and is the sum(or difference) of their derivatives.
d/dx[f(x) + g(x)] = f'(x) + g'(x)
d/dx[f(x) - g(x)] = f'(x) - g'(x)
The Constant Multiple Rule If f is a differentiable function and c is a real number, then cf is also differentiable and d/dx[cf(x)] = cf'(x) The Power Rule If n is a rational number, then the function f(x) = xn is differentiable and d/dx[xn] = nxn-1 The Product Rule The product of two differentiable functions, f and g, is itself differentiable. Moreover, the derivative of fg is the first function times the derivative of the second, plus the second function times the derivative of the first.
d/dx[f(x)g(x)] = f(x)g'(x) + g(x)f'(x)
The Quotient Rule The quotient f/g, of two differentiable functions, f and g, is itself differentiable at all values of x for which g(x) does not = 0. Moreover, the derivative of f/g is given by the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator divided by the square of the denominator.
d/dx[ f(x)/g(x) ] = (g(x)f'(x) - f(x)g'(x)) / [g(x)]2 g(x) does not = 0
The Chain Rule If y = f(u) is a differentiable function of u and u = g(x) is a differentiable function of x, then y = f(g(x)) is a differentiable function of x and d/dx[f(g(x))] = f'(g(x))g'(x) The General Power Rule If y = [u(x)]n, where u is a differentiable function of x and n is a rational number, then d/dx = [un] = nun-1u'.
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !