Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the 50th derivative of y = cos 2x

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(4x))* y'(x) =…

A: In this question we have to find differentiation by using logarithm.

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: sin

A:

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

A:

Q: Find the derivative of f(x) = ln∣cos x∣.

A:

Q: Find the derivative of cos-¹(sin x)

A:

Q: Find the derivative of the function.

A: The given function is y=ln5sinx

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

A:

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: 2. Find the derivative of g(x) = 2x sin x.

A:

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

A:

Q: sinx 3. f(x)=(x)*

A:

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

A:

Q: Find the derivative of the function.

A:

Q: g(x) = cos ¹x+ 1-x

A:

Q: sinx In (2) co cos x

A:

Q: FIND THE FIRST DERIVATIVE OF THE FUNCTION cos r. y = cosx О а. SIN3X O b. - COS3X О с. COS3X O d.…

A:

Q: cos X sin x + cosX

A:

Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

A:

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

A:

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the derivative of h(x) = sin2x

A:

Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

A:

Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

A:

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

A:

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

A:

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x))cos(5x)

A:

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…