3t² Determine f'(2) if f(t)=log10 2t – 1

Q: Please

A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of…

Q: Let p(t)=10(0.001)^t and   q(t)=log⁢  t^3. Solve the equation q(p(t))=0 for t.

A: The given functions are,

Q: Q6.Differentiate w.r.t'x 1-logr

A: we have to derivative

Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: 25łn²(x) log (x) dx

A:

Q: d (а) Find d.x de log, e³]. d [log, e"] dx (b) Find d log, 4] dx d [logx 4] dx

A:

Q: +y du show that x- + y = 3. %3D Ifu(x,y)=log x+y

A: we have to show that the following

Q: y = (cos(x²))* -2 Co:

A:

Q: f(x)=log_(2)x that is 6 units to the right and 2 units up?

A: Parent function f(x)=log2x We have to find the equation of function that is 6 units to the right and…

Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

A:

Q: 3 Differentiate if x* log,(2+vx) f(x)=|

A: Here the differentiation is in the following steps

Q: Suppose that the time in minutes, Y , that an insect spends on a plant is exponentially distributed…

A: Y is the time in minutes that an insect spends on a plant and .

Q: Let f (æ) = log2 (x). Find f' (2), round to three decimal places.

A:

Q: X y = (sec x) log2 a

A:

Q: Exercise 5. Find for y = In (A). Hint: Use the properties of the logarithm function before…

A: given function is y = lnx-54x3+1according to the property of logarithm,also if y = ln(x) then  ey =…

Q: if log x^13 y^10/z^13 =A log(x)+B log(y)+C log(z) then A= B= C=

A:

Q: 1 (log, x)' 3x ise b =?

A:

Q: Differentiate f(x) = log, (9 – 10x).

A:

Q: Let f(x) = log, (8x? 3x + 10). Find f' (x).

A: Differentiation wrt x

Q: Find fdz 7 log(x) + C

A:

Q: Find ay 3.y= log (x-)3 m Cxt2)^]

A:

Q: y=10x log10 X differentiate?

A:

Q: Find h" (x) if h(x) = log,(cos(x)) – e®z. -

A:

Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

A: Given: - The function is, f(t)=log10tt+1 To determine: - The solution of f'(1).

Q: Given 2 log3(x + y) = 2 + log3x + log3 y, show that x² + y² = 7xy.

A:

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

A: