Using the above given trigonometric formulas, we can write the derivative of cos x and the derivative of 1/sec x, that is, d(cos x)/dx = d(1/sec x)/dx, and apply the quotient rule of differentiation.dcosxdx=d(1secx)dx=(1)′secx−(secx)′1sec2x=0.secx−secxtanxsec2x=−...
Proving the Sum & Difference Rules for Derivatives Using the Derivatives of Natural Base e & Logarithms Calculating Derivatives of Constant Functions Finding the Derivative of 2sinxcosx Create an account to start this course today Used by over 30 million students worldwide Create an account Explor...
Question: Find derivative of (sinx)/(1-cosx) Find derivative of (sinx)/(1-cosx) Here’s the best way to solve it. Solution 100% (1 rating) Share View the full answer Previous question Next questionNot the question you’re looking for? Post any question and get expert help quickly. ...
Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... Learn more about this topic: What is the Derivative of 1/cos(x)?
Express each of the following decimals in the p/q form 76.12 01:18 Compute derivative of f(x)=sin2x 02:47 Compute derivative of g(x)=cotx 02:55 Find the derivative of (x^(5)-cosx)/(sinx) 03:17 Find the derivative of (x+cosx)/(tanx) 02:25Exams...
Find :∫sinx+cosx√sin2xdx View Solution ∫sinx+cosx√1+sin2xdx View Solution Evaluate:∫sinx−cosx√sin2xdx View Solution ∫sinx+cosx√1+sin2xdx. Evaluate:∫sinx+cosx√1−sin2xdx View Solution Evaluate:∫sinx+cosx√1−sin2xdx ...
(b) cosx, (c) sinx, (d) tanx, (e) −cosxsinx? Derivative of a Function: Using the limit definition of derivatives is very difficult in most cases. The practical way to do derivate is to know the derivative of a few simple functions (presented in tables of derivatives)...
The derivative of sec^2x is equal to 2 sec^2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
Derivative of a Logarithm The derivative of the natural logarithm function, f(x)=lnx, is equal to the reciprocal of x, 1x. By the Chain Rule, the derivative of the composite function involving this logarithm must be equal to: ddx(ln(g(x)))=1g(x)⋅g′(...
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