Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x)= ]. Vã 11z2 dz z4+1 1. O a. 11 x²+1 а. O b. Vx?+1 11 O c._11/x 2(x²+ 1) O d. Vx+11 x²+11 e. none of these

Q: 4. Find two possible non-linear functions & and such that goh= √sinx-x²

A: To find the non linear function by the given composition.

Q: For what value of x does the function g(x) x - 2x concave downward? В. A. x -1 D. x< 2 C. x -2 1/3

A: The graph of y = g (x) is concave downward on those intervals where y = g "(x) &lt; 0.

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A: The given function is fx,y=-0.02x2y3. Compute the gradient of f as follows. ∇fx,y=∂∂x, ∂∂y…

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A: As per guidelines we are allowed to solve one question at a time so i am solving first one please…

Q: Find the derivative

A: Step 1: Step 2: Step 3: Step 4:

Q: Let n be a positive integer. Prove that 1:(1)+2 (;) . (:)- n n + 2 . +n . n2"-1. ... n

A: We have to prove the identity: 1·n1+2·n2+....+n·nn=n2n-1

Q: - Prove that the derivative of (2x +1)2 is 4 (2x + 1) by using first principle derivative.

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Q: 2.2 Use the Cauchy-Riemann equation to determine if the function f(2) =r- i(2-y)" is analytic or…

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Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: If f(x) = 6x²e*, then what is the derivative of f(x) with respect to x? 6xex O 12xe* О бхе"(x + 1) O…

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Q: 8. What are all the roots of the function f(x) = (x² + 1)(x – 2)? ? 2. -1 and 2 iand 2

A: solve for x over the real numbers (x^2+1)(x-2)^2=0 Split into two equations  (x-2)^2=0 or (x^2+1)=0…

Q: In another universe, there are some extra functions that their mathematicians use: stars, sun and…

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Q: Prove that x''' + yul + zm2 = where dashes denote differentiation w.r.t.s. 1 22 + 1 + p" p* -176 402

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Q: 5z2 + 13z/2 137/2 g(z) = 522

A:

Q: Compute the derivatives of the fallowing functions. use any rule but explain what ar methed, did No…

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Q: 11. The derivative of cos 3x² is: a. -6x sin 3x² cos 3x² b. - sin 3x² c. -6x cos 3x² d. -6x sin 3x²…

A: Derivative represents the rate of change of a variable with respect to the independent variable. A…

Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the…

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Q: 11:2 +¸µ¹¹:¹² + z ¹¹12 Prove that x12 denote differentiation w.r.t.s. = 1 p² 0² + 1+p²². 04 11 1 R²…

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Q: Check the continuity of the given function at the given c (or e's). (a) f(z) = { if 143 2-3 5 if z=3…

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Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: If the derivative of the function is zero everywhere, the function is always O a. variable O b. None…

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Q: Copy of Investigation - H... E Classes

A: Common Functions Function Derivative Constant c 0 Line x 1   ax a Square x2 2x Square Root…