WebFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step WebIf we accept that d/dx (cos x) = − sin x, and the power rule then: sec x ≡ 1/cos x Let u = cos x, thus du = − sin x dx sec x = 1/u (1/u) = (u⁻¹) By the power rule: derivative of (u⁻¹) = −u⁻² du Back substituting: = − (cos x)⁻² ( − sin x) ∙ dx = [sin x / (cos x)²] ∙ dx = [ (sin x / cos x) ∙ (1/cos x)] ∙ dx = [tan (x) ∙ sec (x)] ∙ dx 5 comments
Find the Roots (Zeros) sin(2x)=sin(x) Mathway
WebJan 17, 2024 · We take the derivative of the outermost term first, and then multiply by the derivative of the inside term. We're given the function: f (x) = sin(2x) The outermost term is the sine function. We know that the derivative of the sine is the cosine. The innermost term is 2x. The derivative of 2x is simply 2. f '(x) = cos(2x) ⋅ 2 ⇒ f '(x) = 2cos(2x) WebJan 17, 2024 · We're given the function: f (x) = sin(2x) The outermost term is the sine function. We know that the derivative of the sine is the cosine. The innermost term is 2x. … ruptly mailing address
The derivative of sin^-1 ( 2x1 + x^2 ) with respect to tan^-1
WebAug 9, 2016 · Calculus Differentiating Trigonometric Functions Intuitive Approach to the derivative of y=sin (x) 1 Answer Jim H Aug 9, 2016 2xsin( 1 x) − cos( 1 x) Explanation: Use the product rule: d dx (uv) = u'v + uv' to get d dx (x2sin( 1 x)) = [2x][sin( 1 x)] + [x2][cos( 1 x) ⋅ ( − 1 x2)] = 2xsin( 1 x) − cos( 1 x) For all reals except 0. Answer link WebWolfram Alpha calls Wolfram Languages's D function, which uses a table of identities much larger than one would find in a standard calculus textbook. It uses well-known rules such … WebThe derivative of sin 2x with respect to cos 2x is A tan 2x B tanx C −tanx D None of these Medium Solution Verified by Toppr Correct option is D) Let u=sin 2x;v=cos 2x On differentiating w.r.t x respectively, we get dxdu=2sinxcosx=sin2x dxdv=−2cosxsinx=−sin2x Now, dvdu= dv/dxdu/dx = −sin2xsin2x =−1 Was this answer helpful? 0 0 Similar questions ruptly news agency