If f x sin−1x then f′ 3√2
Web8 (1 point) Use the "mixed partials" check to see if the following di erential equation is exact. If it is exact nd a function F(x,y) whose di erential, is the left hand side of the di erential equation. That is, level curves are solutions to the di erential WebThe revenue from the sale of x mineral-based makeup sets is given by R(x)=42x−0.4x^2 dollars. The total cost is given by C(x)=0.1x^2−30x+2430 dollars, where 0≤x≤110. …
If f x sin−1x then f′ 3√2
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Web4 aug. 2015 · Again, let f be defined in a piecewise way by f (x) = x2sin( 1 x) when x ≠ 0 and f (0) = 0. Certainly, when x ≠ 0 the function is differentiable and continuous and the … WebConcept: When two functions combine so that the output of one function becomes the input of the other, the function is a composite function.; A composite function is denoted by (gof) (x) = g(f(x)). Formula used: sec 2 a = 1 + tan 2 a; sin 2 a + cos 2 a = 1. Calculation: f(x) = tan-1 x and g(x) = sin x. ⇒ (gof) (x) = g [f(x)] ⇒ (gof) (x) = sin (tan-1 x). Let a = tan-1 x
Web2 dec. 2024 · Best answer (a) Since sin–1(log [x]) is defined if and only if −1 ≤ log [x] ≤ 1, we have e−1 ≤ [x] ≤ e ⇒ [x] = 1, 2 Now, log (sin−1[x]) is defined if and only if sin−1[x] > 0 and −1 ≤ [x] < 1. So, [x] = 1 Hence, f (x) is defined if [x] = 1 only. f (x) = sin−1 log 1 + log sin−11 = sin−1 (0) + log (π/2) ⇒ f (x) = log π/2 WebFind ∫ C F . dr, where F = (x2 − y2)î + 2xyĵ and C is a square bounded by the co-ordinate axes and the lines x = a, y = a. Q7. If −1 < a < 0 and n ∈ N, then ∫ a 0 x n 1 + x dx converges to: Q8. The function f, given by f ( x) = { s i n x 2 x, x ≠ 0 0, x = 0 is. Q9. The value of lim n → ∞ { ⌞ n n } 1 / n is. Q10.
WebSolve 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. Web7 apr. 2024 · Let f and g are real valued functions defined by f (x)= 3x+4 and g(x) =x2−1. Then find f ∘g(x2−1) and g∘ f (3x+4) Topic: Relations and Functions Book: IIT-JEE Super Course in Mathematics - Calculus (Pearson) View solution Question 4 Medium Views: 5,165
Webf ( x) = sin 2 ( 3 − x) then by chain rule, we have. f ′ ( x) = 2 sin ( 3 − x) d d x ( sin ( 3 − x)) f ′ ( x) = 2 sin ( 3 − x) cos ( 3 − x) ( − 1) = − 2 sin ( 3 − x) cos ( 3 − x) Now, sin ( 2 x) = 2 sin …
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