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Q: 1.) f(x)=(2x-5)(3x-4)
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Compute the derivatives of the given functions.
a)
f(x)=ln(7x5) f′(x)= ___
b) g(x)=ln(4√x, g′(x)= ____
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- (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 .(a) Find the derivative at x = −1. (b) Find the second derivative at x = −1. h(x) = 2x4 + 8x3 + 15x2 + 14x + 41. Determine the derivatives of the ff. functions and show solution
- Solve for the derivative of the given functions using the Chain Ruleformula. Suppose f(x) = (sin(2x) + 1)7 .Find f′ (π/2) and f′(π). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?8.) FIND ALL DERIVATIVES OF y^(n) OF THE FUNCTION y = square root of (x+5).Solve No : 2 2. Use Leibnitz’s Theorem to find the nth derivative of x3ln(x).
- 1 -) 100 is equal to The derivative of the function esin aFind the first derivative of each function. a) f(x)=ln (e^x+e^-x) b)f(x)= e^-2x - x ln x+x-7 c) f(x)= e^x-e^-x/e^x+e^-x d) f(x)= ln(e^x - 3x) e) f(x)= e^x^2 ln x - X^2/25. 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)=3