sin(x2)is made up ofsin()andx2: f(g) = sin(g) g(x) = x2 The Chain Rule says: the derivative of f(g(x)) = f'(g(x))g'(x) The individual derivatives are: f'(g) = cos(g) g'(x) = 2x So: ddxsin(x2) = cos(g(x)) (2x) ...
Frequently Asked Questions (FAQ) What is the derivative of f(x)= 1/(2x) ? The derivative of f(x)= 1/(2x) is -1/(2x^2) What is the first derivative of f(x)= 1/(2x) ? The first derivative of f(x)= 1/(2x) is -1/(2x^2)...
What is the derivative of x^2 + 5x + 7x^2(5x + 3)^3? What is the derivative of f(x) = (2 - 3x) (-5x + 4)? What is the derivative of { e^{cx} } ? What is the derivative of 2sin(1/2x)? What is the derivative of -3x((x+1)^\frac{1}{2})?
nth derivative of cos^2 x = (a) 2^(n-1) cos((npi)/2 + 2x) (b) 2^(n-1) cos((npi)/2 - 2x) (c) 2^(n+1) cos((npi)/2 + 2x) (d) 2^(n+2) cos((npi)/2 + 2x)
The derivative ofsin−1(x√1+x2)w.r.t .x is View Solution The derivative ofcos−1(2x2−1)w.r.tcos−1xis View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class...
derivative ofsin6(x) Solution 6sin5(x)cos(x) Hide Steps Solution steps dxd(sin6(x)) Apply the chain rule:6(sin(x))5dxd(sin(x)) =6(sin(x))5dxd(sin(x)) dxd(sin(x))=cos(x) =6(sin(x))5cos(x) Simplify=6sin5(x)cos(x) ...
Derivative of (tan(x))^2. Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
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Derivative of ((x-2)^3)*(x-1). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. Below you can find the full step by step solution for you problem. We hope it will be very helpful for you and...
Differentiate f(x) = 2xe^x \csc x. What is the derivative of \sec x (\tan x - \sec x)? Find the derivative: f(x) = sec^2 x sec x^2. Find the derivative: y = 3 \tan (x) 5 \sec(x) Find the derivative of y = sec(x). Find the derivative of \frac{1}{\sin(x)...