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- 5. Use logarithmic differentiation to find the derivative of these functions.(a) y =√xex2 (x2 +1)10(b) y =xcos(x)(c) ln (x)+ln (y2)=3give a problem and solution for differentiation rule of exponential and logarithmic functions in partial differentiation of function of U with respect to 3 independent variables x, y and z and solve ???z2-22 Differentiate the function: f(x) = log10(√x ) ? Please show work along with the rule used for derivatives of logs - Thank you!
- (A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose x-coordinate is 1/2.(B) Using logarithmic differentiation, find the derivative off(x)=(e^(-3x) √(2x-5))/(6-5x)^4 .3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x■ Find y 2 implicit differentiation. x3 + y3 = 1
- give a problem and solution for differentiation rule of exponential and logarithmic functions in application of differentialTrue of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your solution4. Find an equation of the tangent line to the graph of f(x) = ln(x^2 + 4) at the point (2, ln(8))
- Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y = cos h-1 √2x 3. y = tan h-1 (2 / x)Using logarithmic differentiation, Show that y(x)=xa2xex2 has no stationary points other than x=0, if e−2√<a<e2√ .Topic is numerical differentiation Evaluate the derivative if a = 68, b = 0.4, and c = 5 at x = 2 using FDA with Δx =0.02. Round off the final answer to five decimal places.