NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Prove the formula for (d/dx)(cos^{-1} x) by the same method as for {d/dx){sin^{-1} x). Is this equation correct: (xy)^3 = xy3 ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right?
Example:Show that tan 3x.tan 2x.tanx= tan 3x-tan 2x-tan x Answer:We can write, 3x=2x+x Also, tan 3x= tan (2x+x) By the formula, \(\begin{array}{l}tan (x+y)=\frac{tan x +tan y}{1-tan x tan y}\end{array} \) ...
When the numerator of a rational function is represented as an exponential function and the denominator is represented as a tangent function, then substitute these values and their respective derivatives using the following formula in the quotient formula. {eq}\begin{align*} \displaystyle \frac{\...
∫arctan(3x)dx∫arctan(3x)dx Integrate by parts using the formula ∫udv=uv−∫vdu∫udv=uv-∫vdu, where u=arctan(3x)u=arctan(3x) and dv=1dv=1. arctan(3x)x−∫x39x2+1dxarctan(3x)x-∫x39x2+1dxSimplify. Tap for more steps... arctan(3x)x−∫3x9x2+1dxarctan(3x)x...
Find the phase shift using theformulacbcb. Tap for more steps... The phase shift of thecan be calculated fromcb. Phase Shift:cb Replace the values ofcandbin thefor phase shift. Phase Shift:π23 Phase Shift:π2⋅13 π2⋅13.
When factorsing look for where and This may be implied by the correct roots (even award for ), an attempt at factorising, an attempt at the quadratic formula, an attempt at completing the square and even \pm the correct roots.B1: For the roots oeM1: Finds at least one solution for ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
First Derivative | Definition, Formula & Examples from Chapter 9 / Lesson 9 32K Learn to define what first derivatives are. Learn how to find the first derivative of functions. Discover the first derivative formula and see examples. Related...
Chapter 13/ Lesson 5 32K Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples. Related to this Question Evaluate the integral. (Remember to use absolute valu...