4 6. ν- x3

Q: 3. Find the derivative of g(r) = Do Not Simplify. +1

A:

Q: 12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

A: Topic:- calculus

Q: Some values of adifferentiable function f and its derivative are given below. 2. 4. 15 13 10 6.…

A:

Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

Q: 58. True or False The derivative of y = e²* is 2 (In 2) e²". Justify your answer.

A:

Q: 34 - What is the value of the first derivative of the function at x = 2? A) 2 B) 1 C) -2/3…

A: Given y=ln[(x+1)/(x-1)] To find the first derivative at x=2

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: 4) fG) = (2x+ 1)9 %3D

A:

Q: Зах + b Find the derivative of h(x) Assume a, b and c are | 5c constants. h'(x) = %3D

A: The objective is to find the derivative.

Q: 3. Evaluate the derivatives of the following: i. 2t +3 ii. x' sin x iii. In(3x-4) iv. (2x +5)"

A: i. Quotient Rule:  The Quotient Rule for differentiation is given by, Evaluate the derivative of…

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: Final Final Answer: 8. Find the 2nd derivative of Answer: 3 y = In(7 – x³) 9. Find the 3rd…

A: In the question we have to find derivatives of given function.

Q: doy= Ax²+ B Find the differential of the curve family.

A: Given curve is                                                    lny=Ax2+B we have to find the…

Q: II. Find the first, second and third derivative of the function s = 3(8t" – 7)"

A: s = 3(8t4-7)4

Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: 21. Which of the following is the third derivative of x? +y? = a?? A. ya - Sar С. y -3ax В. -7ar D.

A:

Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY…

A: Using given formula then solve it.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: 3. The slope of the tangent line to f(x) = A tan(¤) is 1/2 when z = 2n/3. Deter- mine the equation…

A:

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 1 Q/ Find the derivative of R(z) Vz 8z4 E Add file amit

A: Solution: The objective is to find the derivative of the given function

Q: [24] 1. Find the derivative of the following function. Make any obvious simplifications. (a) r²y²…

A: Hi, I am solving question 1 for other question repost it.

Q: Find the derivative of the following functions: b). ?(?)=2tan^−1(?)−7?

A: To find the derivative of  y(x)=2tan-1(x)-7x

Q: Use the product rule to find the derivative of y %3D (За? + 5) (За — 5). Туре уour work step by step…

A: Given,          y=3x2+53x-5We know that,         The product rule for the derivative of two function…

Q: Find the derivative of the function at Po in the direction of A. f(x,у) - 4хy + 3у?, Po(-1,1), А-D6і…

A:

Q: у 3 2Таn(0.5х) — х II

A:

Q: 8. Find the derivative of (logsx?). dx 2 A. x In 5 1 В. x In 2 С. x In 5 D. 2x In 5

A: Solving the problem by finding the value of the derivative. For the question no 8. Option A is…

Q: a) Find implicitly, if y°cosy +x = 2xy b) Define differentials also find derivative by using…

A: (2)(a) We have the given function as y2cosy+x2=2xy On using implicit differentiation, we get the…

Q: 4. Find the second derivative of each of the following and determine based on your results if the…

A:

Q: Q3) Find the derivative of y for all functions the following (3) y = tlog3(e(stn t)(In 3)) %3D

A: The derivative of the logarithmic terms can be calculated by first simplifying the logarithm. The…

Q: Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y =…

A:

Q: 8. Find the derivative of the following functions with respect to x by using either the product or…

A:

Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: 4x+3 J When solving for the second order derivative of f, it yields to f"(x) = X(Ax+B) Cx³ Suppose…

A: The given function is, fx=4x+3x Differentiating with respect to x,…

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

Q: l.find the fitst derivative of 2 find the square of the first derivative in 1 above

A: 1.  To find the first derivative of the given function f(x)=e-xθ2.  f'(x)2=?

Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

A:

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

A:

Q: Q/2: Find the derivative of the following: (a) y = (x²ln x)* (b) y = In 1-x

A: According to power rule of differentiation . According to product rule of differentiation .

Q: Consider the derivative function g (x) = 3 cos (4x – 1). %3| What is the general antiderivative of…

A:

Q: 4) Find the derivative of each of the functions given below. Don't simplify! а) / (х)-5x* - 6x?…

A: See the details solution in below

Q: 6. Find the second derivative of the function. f(P) = v1– 2P7 eC-2P

A: Some derivative formulas: ddx(fg)=fg'+gf'ddxfg=gf'-g'fg2ddx(a)=0ddx(xn)=nxn-1

Q: 9. [Essay] Find the derivative of y * sign 3a* (x? – 3x + 1).

A: Given function is: y=3axx2-3x+1 We have to find the derivative dy/dx. We will use the following…

Q: E2-3

A:

Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (n2 – 1)* 31. H (r) = (2г + 1)8

A: In the question it is asked to calculate the derivative of H(r)=(r2-1)3(2r+1)5 using chain rule.

Q: 4) Use the quotient rule to find the derivative. Simplify the result. d [3+7e* dx | 6e* + 5

A: given that, dds3+7es6es+5 we have to find the derivative using quotient rule.

Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

A: