Differentiate. y 9 − sec x tan x
WebMar 14, 2015 · Line 3 should read $$ 9(2x)\sin x \tan x +9x^2(-\cos x)\tan x + 9x^2 \sin x \sec^2 x $$ You can actually factor out $9x\sin x$ because $\cos x \tan x = \sin x$. Continuing $$ 9x \sin x (2\tan x - x + x \sec^2 x) \\ 9x \sin x (2\tan x +x (\sec^2 x - 1) )\\ $$ WebApr 12, 2015 · It is cosx +sinx. You could use the quotient rule and then try to simplify. That's probably how a machine would do it. But we are human, we can think about how to do this. tanx − 1 secx = tanx secx − 1 secx = sinx cosx 1 cosx − 1 1 cosx. So the expression is equal to: tanx − 1 secx = sinx − cosx. And the derivative is cosx + sinx.
Differentiate. y 9 − sec x tan x
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WebApr 10, 2024 · Solution For The equations x−y=0.9 and x+y11 =2 have the solution The world’s only live instant tutoring platform. Become a tutor ... sec 2 x tan y d x + sec 2 y tan x d y = 0. Topic: Differential Equations . View solution. Question 2. Views: 5,672. 27. Differentiate tan x ... WebMar 13, 2015 · The derivative of $\tan x$ is $\sec^2 x$. You wrote that it is $-\csc^2x$, in the second line. You can proceed like: $$\frac {\tan x (-\sec x \tan x) - (1-\sec x)\sec^2x} {\tan^2x} = -\sec x - \frac { (1-\sec x)} {\sin^2 x} = \cdots$$. Share. Cite. Follow. answered Mar 13, 2015 at 21:16.
WebFind dy/dx ysec(x)=xtan(y) Step 1. Differentiate both sides of the equation. Step 2. Differentiate the left side of the equation. Tap for more steps... Differentiate using the … WebFind dy/dx y=sec(tan(x)) Differentiate both sides of the equation. The derivative of with respect to is . Differentiate the right side of the equation. ... The derivative of with respect to is . Reorder the factors of . Reform the equation by setting the left side equal to the right side. Replace with .
WebFeb 6, 2016 · y'=tan^2xsecx+sec^3x Use the product rule: y'=tanxd/dx(secx)+secxd/dx(tanx) You should know the identities: d/dx(secx)=tanxsecx d/dx(tanx)=sec^2x Which gives... WebAug 1, 2014 · We know that the derivative of tanx is equal to sec2x, and the derivative of lnx is 1 x: 5.) 1 y ⋅ dy dx = sec2xlnx + tanx x. Multiply both sides by y to isolate dy dx: 6.) dy dx = y(sec2xlnx + tanx x) We know y from step 1, so we will substitute: 7.) dy dx = xtanx(sec2xlnx + tanx x) And there is the derivative. Answer link.
WebTrigonometry. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between …
WebMar 13, 2015 · The derivative of $\tan x$ is $\sec^2 x$. You wrote that it is $-\csc^2x$, in the second line. You can proceed like: $$\frac {\tan x (-\sec x \tan x) - (1-\sec … hermanus reulingWebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. hermanus rental propertyWebFind the 2nd derivative of each function. 20. y = tan x 21. y = cot 3 x − 1 22. y = 9 tan x 3 23. The position of a particle moving along a coordinate line is s = √ 1 + 4 t, with s in … hermanus rental propertiesWebI have always seen the derivative of tan(x) as sec^2(x) and the derivative of cot(x) as -csc^2(x). This seems to be the standard, and I have never seen it otherwise. However, Sal is using 1/cos^2(x) as the derivative of tan(x) and -1/sin^2(x) as the derivative of cot(x). He goes on to prove that the the different derivatives are actually the ... mavis discount tire pittsfield maWebView mat_2010_fall_19_final_exam_key.pdf from MAT 2010 at Wayne State University. MAT 2010, Fall 2024 Final Exam Solutions 1. (10 points) Use the definition of the derivative to differentiate the hermanus regionWebDerivatives of the Sine and Cosine Functions. We begin our exploration of the derivative for the sine function by using the formula to make a reasonable guess at its derivative. Recall that for a function f ( x), f ′ ( x) = lim h → 0 f ( x + h) − f ( x) h. Consequently, for values of h very close to 0, f ′ ( x) ≈ f ( x + h) − f ( x) h. mavis discount tire pooler gaWebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. hermanus restaurant winterton on sea