y′=(f′(g(x)))(g′(x)) Answer and Explanation:1 Step 1.Take the derivative ofcsc−1(x12+1), recognizing that the chain rule needs to be applied since this is a composite... Learn more about this topic: How to Calculate Derivatives of Inverse Trigonometric Functions ...
Answer to: Prove that the derivative of csc(x) is -csc(x)cot(x) (i.e. f(x) = csc(x) \to f'(x) = -csc(x)cot(x)). By signing up, you'll get thousands...
Find the derivative of each function: 1) y=\frac{1}{\sqrt {\sin (x^2) 2) y=\sin^2(\cos (x^2)) Find the derivative of csc^-1 x a) Find the derivative of y=(tan \ x)^{In \ x}. b) Find the derivative of y=x^{\sqrt {2x. ...
Answer to: Find the derivative of csc x By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also ask...
1−cot2x=sin2xsin2x−cos2xsin2x=sin2x−cos2xsin2x=sin2xsin2x−cos2xsin2x=sin2xsin2x=sin2xsin2xThus, we can express:√1−cot2x=√sin2xsin2x=sinxsinxSo, we have:dydx=csc2x√1−cot2x=csc2xsinx Final ResultThus, the derivative of y=cos−1(cotx) with respect to x is:...
Find the derivative of sinxcosx=x+y with respect to x View Solution Find the derivative of(1+cosx)xwith respect to x. 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...
•csc(x)—cosecant •arcsec(x)—arcsecant •arccsc(x)—arccosecant •arsech(x)—inverse hyperbolic secant •arcsch(x)—inverse hyperbolic cosecant •|x|,abs(x)—absolute value •sqrt(x),root(x)—square root •exp(x)—e to the power of x ...
1 / 7 用學習模式學習 1 選擇正確的詞語 1 e^x 2 ln x 3 cot^-1 x 4 x 不知道嗎? 本學習集中的詞語(19) C Constant 0 x 1 x^n nx^n-1 e^x e^x a^x a^x ln a log_a x 1/(x ln a) ln x 1 / x sin x cos x cos x - sin x tan x sec^2 x csc x -csc x cot...
The derivative of csc xTHE DERIVATIVE of sin x is cos x. To prove that, we will use the following identity:sin A − sin B = 2 cos ½(A + B) sin ½(A − B).(Topic 20 of Trigonometry.)Problem 1. Use that identity to show:sin (x + h) − sin x = ...
1 Constant Multiple [ c ⋅ f(x) ] 2 f(x) = csc x 3 f(x) = sec x 4 natural log [ f(x) = ln x ] 不知道嗎? 本學習集中的詞語(11) Constant Multiple [ c ⋅ f(x) ] c ⋅ f'(x) Addition/Subtraction [ f(x) = b(x) + k(x) ] f'(x) = b'(x) + k'(x...