Find the derivative of sin 2 x 2 + 3x
WebTranscribed Image Text: (a) Find a function f that has y = 4 – 3x as a tangent line and whose derivative is equal to ƒ' (x) = x² + 4x + 1. (b) Find the area under the curve for f (x) = x³ on [−1, 1]. e2t - 2 (c) Determine where the function is f (x) = cos (t²-1) + 3 (d) Express ² sin (x²) dx as limits of Riemann sums, using the right ... WebThe square root is the outer function, 3x^2 - x is the inner function. The x in the definition of f(x) is not the same as the x in the definition of g(x). They are independent functions that he combines into f(g(x)). I guess you could say that f(g(x)) = √g(x) = √(3x^2 - x) and also f(g(x)) = f(3x^2 - x) = √(3x^2 - x)
Find the derivative of sin 2 x 2 + 3x
Did you know?
WebFrequently Asked Questions (FAQ) What is the derivative of sin^2(3x) ? The derivative of sin^2(3x) is 3sin(6x) What is the first derivative of sin^2(3x) ? WebQuestion Find the derivative of y = 3x 2 sin x. Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution star_border Students who’ve seen this question also like: Trigonometry (MindTap Course List) Topics In Analytic Geometry. 4ECP expand_more Want to see this answer and more?
WebHow to Find the Derivative of Sin Cube x? We can calculate the derivative of sin cube x using the power rule of differentiation, the derivative of sinx formula, and the chain rule … WebDerivative of x: 1: Derivative of 2^x: 2^x ln2: Derivative of 1/x-1/x^2: Derivative of a^x: ln(a)a^x: Derivative of ln(x) 1/x: Derivative of 2*1: 0: Derivative of sinx: cosx: Derivative of cosx-sinx: Derivative of tanx: sec^2x: Derivative of secx: tanx secx: Derivative of sin(3x) 3cos3x: Derivative of sin2x: 2cos2x: Derivative of sin^2x: 2sinx ...
WebNov 13, 2024 · From above, we found that the first derivative of sin^3x = 3sin 2 (x)cos(x). So to find the second derivative of sin^2x, we just need to differentiate 3sin 2 (x)cos(x). … WebCalculus. Find the Derivative - d/dx sin (3x-2)^2. sin2 (3x − 2) sin 2 ( 3 x - 2) Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = x2 f ( x) = x 2 and g(x) = sin(3x−2) g ( x) = sin ( 3 x - 2). Tap for more steps... 2sin(3x− 2) d dx [sin(3x ...
WebI will assume you are talking about the identity sin 2 ( 3 x) = 1 − cos 2 ( 3 x). This says to you that sin 2 ( 3 x) is equal to 1 − cos 2 ( 3 x): so, directly deriving sin 2 ( 3 x) yelds …
WebQuestion: 2. Find the derivative of the following functions. f(x) = sin4(x2 + 3x) f(x) = cos4 1 - f(x) = x sin? (2x) f(x) = cos^ [sin(x2)] 3. Determine the intervals in which the following functions are increasing, concave up, and concave down. f(x) = x3 – 3x - 1 f(x) = x6 - 3x4 x2 f(x) = x²+1 h (United States) ... can the joker beat boxWebOct 17, 2015 · Explanation: By using the power rule and other rules, we get. d dx sin2(3x) = 2sin3x ⋅ (cos3x) ⋅ 3. can the jets still make playoffsWebMar 22, 2024 · Example 5 Find the derivative at x = 2 of the function f (x) = 3x. f (x) = 3x We know that, f’ (x) = limh→0 f x+h−f (x)h Now, f (x) = 3x So, f (x + h) = 3 (x + h) f’ (x) = limh→0 3 x + h − 3 (x)h Putting x = 2 f’ (2) = limh→0 3 2 + h − 3 (2)h = limh→0 6 + 3ℎ − 6h = limh→0 3ℎ + 0h = … can the joker beat batmanWebMar 22, 2024 · Example 5 Find the derivative at x = 2 of the function f (x) = 3x. f (x) = 3x We know that, f’ (x) = limh→0 f x+h−f (x)h Now, f (x) = 3x So, f (x + h) = … can the jets make the playoffsWebJul 13, 2024 · 1 Answer Nathan L. Jul 13, 2024 d dx [(cos3x)(sin2x)] = 2cos4xsinx −3cos2xsin3x Explanation: We're asked to find the derivative d dx [(cos3x)(sin2x)] The first step we could do is use the product rule, which is d dx [uv] = v du dx +u dv dx where in this case u = cos3x v = sin2x: = cos3x( d dx [sin2x]) +sin2x( d dx [cos3x)) can the job centre help me get a laptopWebThe Derivative tells us the slope of a function at any point.. There are rules we can follow to find many derivatives.. For example: The slope of a constant value (like 3) is always 0; The slope of a line like 2x is 2, or 3x is 3 etc; and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below).Note: the little mark ’ means … can the joint commission shut a hospital downWebderivative\:with\:respect\:to\:x,\sin(x^2y^2) derivative\:with\:respect\:to\:y,\sin(x^2y^2) derivative\:with\:respect\:to\:t,te^{(\frac{w}{t})} derivative\:with ... can the job make u sick