Calculate the derivative. (Use symbolic notation and fractions where needed.) d. sec(2x - 5) dx = sec (2t-5) dt 100

Q: given by the equation Зс + 9c² 8c - t = ln 2 Calculate the derivative oft with respect to c and…

A:

Q: Calculate the derivative. f(s) = 4√s + 3√s

A: The given function is fs=s4+s3. Obtain the derivative as follows.

Q: Find the derivative of the function

A: Given expression

Q: p(q)=2q^2-4q+5; q=2 find the derivative

A: We know that fx=xn then f'x=nxn-1. We have, pq=2q2-4q+5 Calculating derivative of function pq with…

Q: Find the derivative of y = 7x°e + 5x? y': Submit Question

A:

Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

A:

Q: 4x – 9y = 1 find the first derivative

A:

Q: Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use…

A:

Q: Find the derivative of the function

A: We know that,

Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

A:

Q: 3x Calculate up to 2nd derivative the equation g(x) = -8sin (+

A: Given: A function gx=-8sin3x2+1. The first derivative of g(x) is: gx=-8…

Q: Find the derivative of the given function: ans: 2 sec2(2x)

A:

Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: d ) Find the derivative: dx rcos(z) V1 - t2dt

A:

Q: Find the derivative of ?(?) = 6 sec2(7x? − 3).

A: Follow the procedure given below.

Q: Calculate the derivative by expanding or simplifying the function. 1 – 2(19t) s(t) = (19t)1/2 (Use…

A:

Q: 5 b. y= sin’ x

A:

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d x2 tdt %D dx t + 4

A: Explained below

Q: dx 2 Take the second derivative and evaluate I--1

A: Firstly, we will find first derivative of x42 by using the result that the derivative if x^n is…

Q: 16. y= 3 cot(n6)

A:

Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

A:

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Find the derivatives of the functions y = (θ2 + sec θ + 1)3

A:

Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box…

A:

Q: Find the derivative of f (y) = 4 sin? (y4). %3D

A:

Q: # 49. y = 2x arccos r -2/1- x2

A: Given y=2x arccosx-21-x2

Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

A:

Q: 3x Write down the derivative of the function V3+ cos? (x) dxc.

A:

Q: Find the derivative of the function. F(t) = 5t sin(mt)

A: To find the derivative of the given function f(t) we use product rule for derivative, Since f(t) is…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d V2ĩ dt dx

A: The given integral is: ddx∫x2x5 2t dt

Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

A:

Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

A:

Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: 5. y = (s* – s-2)*

A: We find out derivative with respect to s . using the formula derivative of sn=nsn-1. Follow 2nd…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) I. d tdt dx t + 3

A:

Q: (а + 1)(а + 2) y = (а — 1) (а — 2)

A:

Q: Find the derivative of the function. Simplify wherepossible.

A:

Q: Find the derivative of the function. 9+4x - 8x y = y' =D %3D

A: We obtain the derivative of the given function y by using the quotient rule of differentiation. We…

Q: Find the derivative of the function y = 3 sec (x + 7). (Use symbolic notation and fractions where…

A: Solution:

Q: 14. y = a' + cos'r

A:

Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: s=csc^5(1-t+3t^2) Find the Derivative

A:

Q: - 7x Find the derivative of the function y =e sin 3x.

A:

Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

A: Given : cosy=6x3-6   To Find : a) dydxb) slope of the curve at the point (1,π2)

Q: c) y = (4x² – 9)(V4x² + 9) csc(x*) d) y = e6x e) y = [sec(2x5 + e15×)][In(4x5)]

A:

Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

A:

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.