WebYou're correct that the derivative of tan (x) is sec² (x), or 1/cos² (x). cos (3π/4)=-√2/2, so this equals 1/ (-√2/2)²=1/ (1/2)=2. 3 comments ( 3 votes) siddiqah.ali0324 5 years ago Why is cos+sin equal to 1? • ( 2 votes) NoahJpancake 5 years ago … WebAug 29, 2014 · Specifically, we only require the derivative of tan(x), which is d dx tan(x) = sec2(x). This will be accepted without proof, but a proof does in fact exist. For this calculation, we will represent y = tan2(x) with its equivalent, y = tan(x)tan(x). This will allow us to use the product rule.
Solve tan^2θ+sec^2θ= Microsoft Math Solver
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Derivatives of tan(x) and cot(x) (video) Khan Academy
WebSolution: We know that the derivative of trigonometric function tan x is given by sec 2 x. The derivative of tan2x can be calculated using different methods such as the chain rule and quotient rule. Let us determine the derivative of tan2x using the chain rule. d(tan2x)/dx = d(tan 2x)/d(2x) × d(2x)/dx = sec 2 2x × 2 = 2 sec 2 (2x) WebSo, the derivative of sin of two theta with respect to two theta is going to be cosine of two theta and then you multiply that, times the derivative of two theta with respect to theta … WebSep 7, 2024 · Derivatives of tanx, cotx, secx, and cscx The derivatives of the remaining trigonometric functions are as follows: d dx(tanx) = sec2x d dx(cotx) = − csc2x d dx(secx) = secxtanx d dx(cscx) = − cscxcotx. Example 3.5.5: Finding the Equation of a Tangent Line Find the equation of a line tangent to the graph of f(x) = cotx at x = π 4. Solution how to unmerge on pixlr